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Finding the Third Proportional to 292,416 and 637,716

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Solution

The third proportional to 292,416 and 637,716 is: 1,390,764.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,416 : 637,716 = 637,716 : x
  2. Step 2: Convert to fraction form
    292,416/637,716 = 637,716/x
  3. Step 3: Cross multiply
    292,416x = 637,716 × 637,716
  4. Step 4: Simplify right side
    292,416x = 406,681,696,656
  5. Step 5: Solve for x
    x = 406,681,696,656/292,416
  6. Step 6: Final answer
    x = 1,390,764.17

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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.