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Finding the Third Proportional to 292,416 and 637,680

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Solution

The third proportional to 292,416 and 637,680 is: 1,390,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,416 : 637,680 = 637,680 : x
  2. Step 2: Convert to fraction form
    292,416/637,680 = 637,680/x
  3. Step 3: Cross multiply
    292,416x = 637,680 × 637,680
  4. Step 4: Simplify right side
    292,416x = 406,635,782,400
  5. Step 5: Solve for x
    x = 406,635,782,400/292,416
  6. Step 6: Final answer
    x = 1,390,607.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.