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Finding the Third Proportional to 482,484.94 and 709,691.63

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Solution

The third proportional to 482,484.94 and 709,691.63 is: 1,043,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,484.94 : 709,691.63 = 709,691.63 : x
  2. Step 2: Convert to fraction form
    482,484.94/709,691.63 = 709,691.63/x
  3. Step 3: Cross multiply
    482,484.94x = 709,691.63 × 709,691.63
  4. Step 4: Simplify right side
    482,484.94x = 503,662,202,595.14
  5. Step 5: Solve for x
    x = 503,662,202,595.14/482,484.94
  6. Step 6: Final answer
    x = 1,043,892.08

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