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Finding the Third Proportional to 482,265 and 710,073

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Solution

The third proportional to 482,265 and 710,073 is: 1,045,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,265 : 710,073 = 710,073 : x
  2. Step 2: Convert to fraction form
    482,265/710,073 = 710,073/x
  3. Step 3: Cross multiply
    482,265x = 710,073 × 710,073
  4. Step 4: Simplify right side
    482,265x = 504,203,665,329
  5. Step 5: Solve for x
    x = 504,203,665,329/482,265
  6. Step 6: Final answer
    x = 1,045,490.89

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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.