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Finding the Third Proportional to 266,052 and 391,297.50

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Solution

The third proportional to 266,052 and 391,297.50 is: 575,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,052 : 391,297.50 = 391,297.50 : x
  2. Step 2: Convert to fraction form
    266,052/391,297.50 = 391,297.50/x
  3. Step 3: Cross multiply
    266,052x = 391,297.50 × 391,297.50
  4. Step 4: Simplify right side
    266,052x = 153,113,733,506.25
  5. Step 5: Solve for x
    x = 153,113,733,506.25/266,052
  6. Step 6: Final answer
    x = 575,503.04

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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.