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Finding the Third Proportional to 535,386 and 785,202

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Solution

The third proportional to 535,386 and 785,202 is: 1,151,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,386 : 785,202 = 785,202 : x
  2. Step 2: Convert to fraction form
    535,386/785,202 = 785,202/x
  3. Step 3: Cross multiply
    535,386x = 785,202 × 785,202
  4. Step 4: Simplify right side
    535,386x = 616,542,180,804
  5. Step 5: Solve for x
    x = 616,542,180,804/535,386
  6. Step 6: Final answer
    x = 1,151,584.43

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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.