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Finding the Third Proportional to 328,294,266.75 and 512,316,856.13

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Solution

The third proportional to 328,294,266.75 and 512,316,856.13 is: 799,491,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,294,266.75 : 512,316,856.13 = 512,316,856.13 : x
  2. Step 2: Convert to fraction form
    328,294,266.75/512,316,856.13 = 512,316,856.13/x
  3. Step 3: Cross multiply
    328,294,266.75x = 512,316,856.13 × 512,316,856.13
  4. Step 4: Simplify right side
    328,294,266.75x = 262,468,561,069,803,936
  5. Step 5: Solve for x
    x = 262,468,561,069,803,936/328,294,266.75
  6. Step 6: Final answer
    x = 799,491,759.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.