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Finding the Third Proportional to 566,959.82 and 877,864.08

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Solution

The third proportional to 566,959.82 and 877,864.08 is: 1,359,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,959.82 : 877,864.08 = 877,864.08 : x
  2. Step 2: Convert to fraction form
    566,959.82/877,864.08 = 877,864.08/x
  3. Step 3: Cross multiply
    566,959.82x = 877,864.08 × 877,864.08
  4. Step 4: Simplify right side
    566,959.82x = 770,645,339,662.26
  5. Step 5: Solve for x
    x = 770,645,339,662.26/566,959.82
  6. Step 6: Final answer
    x = 1,359,259.19

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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.