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Finding the Third Proportional to 284,838.75 and 442,810.13

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Solution

The third proportional to 284,838.75 and 442,810.13 is: 688,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,838.75 : 442,810.13 = 442,810.13 : x
  2. Step 2: Convert to fraction form
    284,838.75/442,810.13 = 442,810.13/x
  3. Step 3: Cross multiply
    284,838.75x = 442,810.13 × 442,810.13
  4. Step 4: Simplify right side
    284,838.75x = 196,080,806,802.52
  5. Step 5: Solve for x
    x = 196,080,806,802.52/284,838.75
  6. Step 6: Final answer
    x = 688,392.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.