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Finding the Third Proportional to 386,394 and 591,064.50

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Solution

The third proportional to 386,394 and 591,064.50 is: 904,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,394 : 591,064.50 = 591,064.50 : x
  2. Step 2: Convert to fraction form
    386,394/591,064.50 = 591,064.50/x
  3. Step 3: Cross multiply
    386,394x = 591,064.50 × 591,064.50
  4. Step 4: Simplify right side
    386,394x = 349,357,243,160.25
  5. Step 5: Solve for x
    x = 349,357,243,160.25/386,394
  6. Step 6: Final answer
    x = 904,147.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.