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Finding the Third Proportional to 323,762 and 506,776

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Solution

The third proportional to 323,762 and 506,776 is: 793,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,762 : 506,776 = 506,776 : x
  2. Step 2: Convert to fraction form
    323,762/506,776 = 506,776/x
  3. Step 3: Cross multiply
    323,762x = 506,776 × 506,776
  4. Step 4: Simplify right side
    323,762x = 256,821,914,176
  5. Step 5: Solve for x
    x = 256,821,914,176/323,762
  6. Step 6: Final answer
    x = 793,242.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.