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Finding the Third Proportional to 547,658 and 841,431

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Solution

The third proportional to 547,658 and 841,431 is: 1,292,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,658 : 841,431 = 841,431 : x
  2. Step 2: Convert to fraction form
    547,658/841,431 = 841,431/x
  3. Step 3: Cross multiply
    547,658x = 841,431 × 841,431
  4. Step 4: Simplify right side
    547,658x = 708,006,127,761
  5. Step 5: Solve for x
    x = 708,006,127,761/547,658
  6. Step 6: Final answer
    x = 1,292,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.