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Finding the Third Proportional to 528,098 and 794,604

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Solution

The third proportional to 528,098 and 794,604 is: 1,195,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,098 : 794,604 = 794,604 : x
  2. Step 2: Convert to fraction form
    528,098/794,604 = 794,604/x
  3. Step 3: Cross multiply
    528,098x = 794,604 × 794,604
  4. Step 4: Simplify right side
    528,098x = 631,395,516,816
  5. Step 5: Solve for x
    x = 631,395,516,816/528,098
  6. Step 6: Final answer
    x = 1,195,602.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.