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Finding the Third Proportional to 344,507 and 730,708

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Solution

The third proportional to 344,507 and 730,708 is: 1,549,850.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,507 : 730,708 = 730,708 : x
  2. Step 2: Convert to fraction form
    344,507/730,708 = 730,708/x
  3. Step 3: Cross multiply
    344,507x = 730,708 × 730,708
  4. Step 4: Simplify right side
    344,507x = 533,934,181,264
  5. Step 5: Solve for x
    x = 533,934,181,264/344,507
  6. Step 6: Final answer
    x = 1,549,850.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.