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Finding the Third Proportional to 478,966.78 and 1,032,291.28

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Solution

The third proportional to 478,966.78 and 1,032,291.28 is: 2,224,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,966.78 : 1,032,291.28 = 1,032,291.28 : x
  2. Step 2: Convert to fraction form
    478,966.78/1,032,291.28 = 1,032,291.28/x
  3. Step 3: Cross multiply
    478,966.78x = 1,032,291.28 × 1,032,291.28
  4. Step 4: Simplify right side
    478,966.78x = 1,065,625,289,344.77
  5. Step 5: Solve for x
    x = 1,065,625,289,344.77/478,966.78
  6. Step 6: Final answer
    x = 2,224,841.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.