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Finding the Third Proportional to 242,541.84 and 500,643.28

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Solution

The third proportional to 242,541.84 and 500,643.28 is: 1,033,403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,541.84 : 500,643.28 = 500,643.28 : x
  2. Step 2: Convert to fraction form
    242,541.84/500,643.28 = 500,643.28/x
  3. Step 3: Cross multiply
    242,541.84x = 500,643.28 × 500,643.28
  4. Step 4: Simplify right side
    242,541.84x = 250,643,695,060.77
  5. Step 5: Solve for x
    x = 250,643,695,060.77/242,541.84
  6. Step 6: Final answer
    x = 1,033,403.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.