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Finding the Third Proportional to 602,128 and 886,558

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Solution

The third proportional to 602,128 and 886,558 is: 1,305,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,128 : 886,558 = 886,558 : x
  2. Step 2: Convert to fraction form
    602,128/886,558 = 886,558/x
  3. Step 3: Cross multiply
    602,128x = 886,558 × 886,558
  4. Step 4: Simplify right side
    602,128x = 785,985,087,364
  5. Step 5: Solve for x
    x = 785,985,087,364/602,128
  6. Step 6: Final answer
    x = 1,305,345.52

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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.