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Finding the Third Proportional to 607,319 and 865,137

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Solution

The third proportional to 607,319 and 865,137 is: 1,232,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,319 : 865,137 = 865,137 : x
  2. Step 2: Convert to fraction form
    607,319/865,137 = 865,137/x
  3. Step 3: Cross multiply
    607,319x = 865,137 × 865,137
  4. Step 4: Simplify right side
    607,319x = 748,462,028,769
  5. Step 5: Solve for x
    x = 748,462,028,769/607,319
  6. Step 6: Final answer
    x = 1,232,403.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.