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Finding the Third Proportional to 503,707.50 and 698,139

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Solution

The third proportional to 503,707.50 and 698,139 is: 967,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,707.50 : 698,139 = 698,139 : x
  2. Step 2: Convert to fraction form
    503,707.50/698,139 = 698,139/x
  3. Step 3: Cross multiply
    503,707.50x = 698,139 × 698,139
  4. Step 4: Simplify right side
    503,707.50x = 487,398,063,321
  5. Step 5: Solve for x
    x = 487,398,063,321/503,707.50
  6. Step 6: Final answer
    x = 967,621.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.