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Finding the Third Proportional to 350,931.50 and 524,058

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Solution

The third proportional to 350,931.50 and 524,058 is: 782,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,931.50 : 524,058 = 524,058 : x
  2. Step 2: Convert to fraction form
    350,931.50/524,058 = 524,058/x
  3. Step 3: Cross multiply
    350,931.50x = 524,058 × 524,058
  4. Step 4: Simplify right side
    350,931.50x = 274,636,787,364
  5. Step 5: Solve for x
    x = 274,636,787,364/350,931.50
  6. Step 6: Final answer
    x = 782,593.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.