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Finding the Third Proportional to 562,584 and 751,518

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Solution

The third proportional to 562,584 and 751,518 is: 1,003,902.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,584 : 751,518 = 751,518 : x
  2. Step 2: Convert to fraction form
    562,584/751,518 = 751,518/x
  3. Step 3: Cross multiply
    562,584x = 751,518 × 751,518
  4. Step 4: Simplify right side
    562,584x = 564,779,304,324
  5. Step 5: Solve for x
    x = 564,779,304,324/562,584
  6. Step 6: Final answer
    x = 1,003,902.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.