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Finding the Third Proportional to 443,282 and 702,035

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Solution

The third proportional to 443,282 and 702,035 is: 1,111,827.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,282 : 702,035 = 702,035 : x
  2. Step 2: Convert to fraction form
    443,282/702,035 = 702,035/x
  3. Step 3: Cross multiply
    443,282x = 702,035 × 702,035
  4. Step 4: Simplify right side
    443,282x = 492,853,141,225
  5. Step 5: Solve for x
    x = 492,853,141,225/443,282
  6. Step 6: Final answer
    x = 1,111,827.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.