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Finding the Third Proportional to 344,476 and 506,507

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Solution

The third proportional to 344,476 and 506,507 is: 744,752.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,476 : 506,507 = 506,507 : x
  2. Step 2: Convert to fraction form
    344,476/506,507 = 506,507/x
  3. Step 3: Cross multiply
    344,476x = 506,507 × 506,507
  4. Step 4: Simplify right side
    344,476x = 256,549,341,049
  5. Step 5: Solve for x
    x = 256,549,341,049/344,476
  6. Step 6: Final answer
    x = 744,752.44

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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.