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Finding the Third Proportional to 266,050 and 391,294.50

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Solution

The third proportional to 266,050 and 391,294.50 is: 575,498.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,050 : 391,294.50 = 391,294.50 : x
  2. Step 2: Convert to fraction form
    266,050/391,294.50 = 391,294.50/x
  3. Step 3: Cross multiply
    266,050x = 391,294.50 × 391,294.50
  4. Step 4: Simplify right side
    266,050x = 153,111,385,730.25
  5. Step 5: Solve for x
    x = 153,111,385,730.25/266,050
  6. Step 6: Final answer
    x = 575,498.54

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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.