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Finding the Third Proportional to 541,290.50 and 841,399

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Solution

The third proportional to 541,290.50 and 841,399 is: 1,307,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,290.50 : 841,399 = 841,399 : x
  2. Step 2: Convert to fraction form
    541,290.50/841,399 = 841,399/x
  3. Step 3: Cross multiply
    541,290.50x = 841,399 × 841,399
  4. Step 4: Simplify right side
    541,290.50x = 707,952,277,201
  5. Step 5: Solve for x
    x = 707,952,277,201/541,290.50
  6. Step 6: Final answer
    x = 1,307,897.10

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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.