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Finding the Third Proportional to 372,445 and 502,999

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Solution

The third proportional to 372,445 and 502,999 is: 679,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,445 : 502,999 = 502,999 : x
  2. Step 2: Convert to fraction form
    372,445/502,999 = 502,999/x
  3. Step 3: Cross multiply
    372,445x = 502,999 × 502,999
  4. Step 4: Simplify right side
    372,445x = 253,007,994,001
  5. Step 5: Solve for x
    x = 253,007,994,001/372,445
  6. Step 6: Final answer
    x = 679,316.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.