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Finding the Third Proportional to 584,934.75 and 1,265,822.25

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Solution

The third proportional to 584,934.75 and 1,265,822.25 is: 2,739,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,934.75 : 1,265,822.25 = 1,265,822.25 : x
  2. Step 2: Convert to fraction form
    584,934.75/1,265,822.25 = 1,265,822.25/x
  3. Step 3: Cross multiply
    584,934.75x = 1,265,822.25 × 1,265,822.25
  4. Step 4: Simplify right side
    584,934.75x = 1,602,305,968,595.06
  5. Step 5: Solve for x
    x = 1,602,305,968,595.06/584,934.75
  6. Step 6: Final answer
    x = 2,739,290.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.