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Finding the Third Proportional to 482,465.11 and 709,664.20

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Solution

The third proportional to 482,465.11 and 709,664.20 is: 1,043,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,465.11 : 709,664.20 = 709,664.20 : x
  2. Step 2: Convert to fraction form
    482,465.11/709,664.20 = 709,664.20/x
  3. Step 3: Cross multiply
    482,465.11x = 709,664.20 × 709,664.20
  4. Step 4: Simplify right side
    482,465.11x = 503,623,281,197.04
  5. Step 5: Solve for x
    x = 503,623,281,197.04/482,465.11
  6. Step 6: Final answer
    x = 1,043,854.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.