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Finding the Third Proportional to 357,718 and 758,082.50

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Solution

The third proportional to 357,718 and 758,082.50 is: 1,606,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,718 : 758,082.50 = 758,082.50 : x
  2. Step 2: Convert to fraction form
    357,718/758,082.50 = 758,082.50/x
  3. Step 3: Cross multiply
    357,718x = 758,082.50 × 758,082.50
  4. Step 4: Simplify right side
    357,718x = 574,689,076,806.25
  5. Step 5: Solve for x
    x = 574,689,076,806.25/357,718
  6. Step 6: Final answer
    x = 1,606,542.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.