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Finding the Third Proportional to 506,452.92 and 772,541.51

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Solution

The third proportional to 506,452.92 and 772,541.51 is: 1,178,432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,452.92 : 772,541.51 = 772,541.51 : x
  2. Step 2: Convert to fraction form
    506,452.92/772,541.51 = 772,541.51/x
  3. Step 3: Cross multiply
    506,452.92x = 772,541.51 × 772,541.51
  4. Step 4: Simplify right side
    506,452.92x = 596,820,381,293.21
  5. Step 5: Solve for x
    x = 596,820,381,293.21/506,452.92
  6. Step 6: Final answer
    x = 1,178,432.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.