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Finding the Third Proportional to 266,946 and 359,559

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Solution

The third proportional to 266,946 and 359,559 is: 484,302.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,946 : 359,559 = 359,559 : x
  2. Step 2: Convert to fraction form
    266,946/359,559 = 359,559/x
  3. Step 3: Cross multiply
    266,946x = 359,559 × 359,559
  4. Step 4: Simplify right side
    266,946x = 129,282,674,481
  5. Step 5: Solve for x
    x = 129,282,674,481/266,946
  6. Step 6: Final answer
    x = 484,302.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.