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Finding the Third Proportional to 402,259.50 and 554,114.25

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Solution

The third proportional to 402,259.50 and 554,114.25 is: 763,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,259.50 : 554,114.25 = 554,114.25 : x
  2. Step 2: Convert to fraction form
    402,259.50/554,114.25 = 554,114.25/x
  3. Step 3: Cross multiply
    402,259.50x = 554,114.25 × 554,114.25
  4. Step 4: Simplify right side
    402,259.50x = 307,042,602,053.06
  5. Step 5: Solve for x
    x = 307,042,602,053.06/402,259.50
  6. Step 6: Final answer
    x = 763,294.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.