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Finding the Third Proportional to 284,078.25 and 621,602.25

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Solution

The third proportional to 284,078.25 and 621,602.25 is: 1,360,151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,078.25 : 621,602.25 = 621,602.25 : x
  2. Step 2: Convert to fraction form
    284,078.25/621,602.25 = 621,602.25/x
  3. Step 3: Cross multiply
    284,078.25x = 621,602.25 × 621,602.25
  4. Step 4: Simplify right side
    284,078.25x = 386,389,357,205.06
  5. Step 5: Solve for x
    x = 386,389,357,205.06/284,078.25
  6. Step 6: Final answer
    x = 1,360,151.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.