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Finding the Third Proportional to 524,981.25 and 1,151,658

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Solution

The third proportional to 524,981.25 and 1,151,658 is: 2,526,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,981.25 : 1,151,658 = 1,151,658 : x
  2. Step 2: Convert to fraction form
    524,981.25/1,151,658 = 1,151,658/x
  3. Step 3: Cross multiply
    524,981.25x = 1,151,658 × 1,151,658
  4. Step 4: Simplify right side
    524,981.25x = 1,326,316,148,964
  5. Step 5: Solve for x
    x = 1,326,316,148,964/524,981.25
  6. Step 6: Final answer
    x = 2,526,406.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.