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Finding the Third Proportional to 602,342 and 803,014

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Solution

The third proportional to 602,342 and 803,014 is: 1,070,540.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,342 : 803,014 = 803,014 : x
  2. Step 2: Convert to fraction form
    602,342/803,014 = 803,014/x
  3. Step 3: Cross multiply
    602,342x = 803,014 × 803,014
  4. Step 4: Simplify right side
    602,342x = 644,831,484,196
  5. Step 5: Solve for x
    x = 644,831,484,196/602,342
  6. Step 6: Final answer
    x = 1,070,540.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.