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Finding the Third Proportional to 264,510.56 and 402,959.81

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Solution

The third proportional to 264,510.56 and 402,959.81 is: 613,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,510.56 : 402,959.81 = 402,959.81 : x
  2. Step 2: Convert to fraction form
    264,510.56/402,959.81 = 402,959.81/x
  3. Step 3: Cross multiply
    264,510.56x = 402,959.81 × 402,959.81
  4. Step 4: Simplify right side
    264,510.56x = 162,376,610,490.04
  5. Step 5: Solve for x
    x = 162,376,610,490.04/264,510.56
  6. Step 6: Final answer
    x = 613,875.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.