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Finding the Third Proportional to 570,712 and 884,921

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Solution

The third proportional to 570,712 and 884,921 is: 1,372,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,712 : 884,921 = 884,921 : x
  2. Step 2: Convert to fraction form
    570,712/884,921 = 884,921/x
  3. Step 3: Cross multiply
    570,712x = 884,921 × 884,921
  4. Step 4: Simplify right side
    570,712x = 783,085,176,241
  5. Step 5: Solve for x
    x = 783,085,176,241/570,712
  6. Step 6: Final answer
    x = 1,372,119.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.