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Finding the Third Proportional to 350,048 and 748,076

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Solution

The third proportional to 350,048 and 748,076 is: 1,598,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,048 : 748,076 = 748,076 : x
  2. Step 2: Convert to fraction form
    350,048/748,076 = 748,076/x
  3. Step 3: Cross multiply
    350,048x = 748,076 × 748,076
  4. Step 4: Simplify right side
    350,048x = 559,617,701,776
  5. Step 5: Solve for x
    x = 559,617,701,776/350,048
  6. Step 6: Final answer
    x = 1,598,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.