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Finding the Third Proportional to 482,897.81 and 747,032.06

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Solution

The third proportional to 482,897.81 and 747,032.06 is: 1,155,641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,897.81 : 747,032.06 = 747,032.06 : x
  2. Step 2: Convert to fraction form
    482,897.81/747,032.06 = 747,032.06/x
  3. Step 3: Cross multiply
    482,897.81x = 747,032.06 × 747,032.06
  4. Step 4: Simplify right side
    482,897.81x = 558,056,902,403.00
  5. Step 5: Solve for x
    x = 558,056,902,403.00/482,897.81
  6. Step 6: Final answer
    x = 1,155,641.81

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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.