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Finding the Third Proportional to 575,127 and 870,750

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Solution

The third proportional to 575,127 and 870,750 is: 1,318,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,127 : 870,750 = 870,750 : x
  2. Step 2: Convert to fraction form
    575,127/870,750 = 870,750/x
  3. Step 3: Cross multiply
    575,127x = 870,750 × 870,750
  4. Step 4: Simplify right side
    575,127x = 758,205,562,500
  5. Step 5: Solve for x
    x = 758,205,562,500/575,127
  6. Step 6: Final answer
    x = 1,318,327.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.