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Finding the Third Proportional to 482,643.56 and 708,998.06

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Solution

The third proportional to 482,643.56 and 708,998.06 is: 1,041,510.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,643.56 : 708,998.06 = 708,998.06 : x
  2. Step 2: Convert to fraction form
    482,643.56/708,998.06 = 708,998.06/x
  3. Step 3: Cross multiply
    482,643.56x = 708,998.06 × 708,998.06
  4. Step 4: Simplify right side
    482,643.56x = 502,678,252,628.75
  5. Step 5: Solve for x
    x = 502,678,252,628.75/482,643.56
  6. Step 6: Final answer
    x = 1,041,510.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.