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Finding the Third Proportional to 292,424 and 637,732

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Solution

The third proportional to 292,424 and 637,732 is: 1,390,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,424 : 637,732 = 637,732 : x
  2. Step 2: Convert to fraction form
    292,424/637,732 = 637,732/x
  3. Step 3: Cross multiply
    292,424x = 637,732 × 637,732
  4. Step 4: Simplify right side
    292,424x = 406,702,103,824
  5. Step 5: Solve for x
    x = 406,702,103,824/292,424
  6. Step 6: Final answer
    x = 1,390,795.91

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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.