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Finding the Third Proportional to 602,309 and 883,353

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Solution

The third proportional to 602,309 and 883,353 is: 1,295,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,309 : 883,353 = 883,353 : x
  2. Step 2: Convert to fraction form
    602,309/883,353 = 883,353/x
  3. Step 3: Cross multiply
    602,309x = 883,353 × 883,353
  4. Step 4: Simplify right side
    602,309x = 780,312,522,609
  5. Step 5: Solve for x
    x = 780,312,522,609/602,309
  6. Step 6: Final answer
    x = 1,295,535.22

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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.