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Finding the Third Proportional to 344,681 and 517,386

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Solution

The third proportional to 344,681 and 517,386 is: 776,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,681 : 517,386 = 517,386 : x
  2. Step 2: Convert to fraction form
    344,681/517,386 = 517,386/x
  3. Step 3: Cross multiply
    344,681x = 517,386 × 517,386
  4. Step 4: Simplify right side
    344,681x = 267,688,272,996
  5. Step 5: Solve for x
    x = 267,688,272,996/344,681
  6. Step 6: Final answer
    x = 776,626.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.