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Finding the Third Proportional to 435,220.59 and 665,709.89

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Solution

The third proportional to 435,220.59 and 665,709.89 is: 1,018,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,220.59 : 665,709.89 = 665,709.89 : x
  2. Step 2: Convert to fraction form
    435,220.59/665,709.89 = 665,709.89/x
  3. Step 3: Cross multiply
    435,220.59x = 665,709.89 × 665,709.89
  4. Step 4: Simplify right side
    435,220.59x = 443,169,658,475.95
  5. Step 5: Solve for x
    x = 443,169,658,475.95/435,220.59
  6. Step 6: Final answer
    x = 1,018,264.45

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Why These Related Problems?

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