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Finding the Third Proportional to 292,136 and 417,468

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Solution

The third proportional to 292,136 and 417,468 is: 596,569.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,136 : 417,468 = 417,468 : x
  2. Step 2: Convert to fraction form
    292,136/417,468 = 417,468/x
  3. Step 3: Cross multiply
    292,136x = 417,468 × 417,468
  4. Step 4: Simplify right side
    292,136x = 174,279,531,024
  5. Step 5: Solve for x
    x = 174,279,531,024/292,136
  6. Step 6: Final answer
    x = 596,569.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.