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Finding the Third Proportional to 464,596 and 695,070

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Solution

The third proportional to 464,596 and 695,070 is: 1,039,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,596 : 695,070 = 695,070 : x
  2. Step 2: Convert to fraction form
    464,596/695,070 = 695,070/x
  3. Step 3: Cross multiply
    464,596x = 695,070 × 695,070
  4. Step 4: Simplify right side
    464,596x = 483,122,304,900
  5. Step 5: Solve for x
    x = 483,122,304,900/464,596
  6. Step 6: Final answer
    x = 1,039,876.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.