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Finding the Third Proportional to 510,045 and 750,963

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Solution

The third proportional to 510,045 and 750,963 is: 1,105,677.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,045 : 750,963 = 750,963 : x
  2. Step 2: Convert to fraction form
    510,045/750,963 = 750,963/x
  3. Step 3: Cross multiply
    510,045x = 750,963 × 750,963
  4. Step 4: Simplify right side
    510,045x = 563,945,427,369
  5. Step 5: Solve for x
    x = 563,945,427,369/510,045
  6. Step 6: Final answer
    x = 1,105,677.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.