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Finding the Third Proportional to 510,102 and 749,596.50

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Solution

The third proportional to 510,102 and 749,596.50 is: 1,101,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,102 : 749,596.50 = 749,596.50 : x
  2. Step 2: Convert to fraction form
    510,102/749,596.50 = 749,596.50/x
  3. Step 3: Cross multiply
    510,102x = 749,596.50 × 749,596.50
  4. Step 4: Simplify right side
    510,102x = 561,894,912,812.25
  5. Step 5: Solve for x
    x = 561,894,912,812.25/510,102
  6. Step 6: Final answer
    x = 1,101,534.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.