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Finding the Third Proportional to 555,605 and 841,152

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Solution

The third proportional to 555,605 and 841,152 is: 1,273,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,605 : 841,152 = 841,152 : x
  2. Step 2: Convert to fraction form
    555,605/841,152 = 841,152/x
  3. Step 3: Cross multiply
    555,605x = 841,152 × 841,152
  4. Step 4: Simplify right side
    555,605x = 707,536,687,104
  5. Step 5: Solve for x
    x = 707,536,687,104/555,605
  6. Step 6: Final answer
    x = 1,273,452.70

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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.