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Finding the Third Proportional to 575,217 and 902,394

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Solution

The third proportional to 575,217 and 902,394 is: 1,415,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,217 : 902,394 = 902,394 : x
  2. Step 2: Convert to fraction form
    575,217/902,394 = 902,394/x
  3. Step 3: Cross multiply
    575,217x = 902,394 × 902,394
  4. Step 4: Simplify right side
    575,217x = 814,314,931,236
  5. Step 5: Solve for x
    x = 814,314,931,236/575,217
  6. Step 6: Final answer
    x = 1,415,665.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.