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Finding the Third Proportional to 559,307.25 and 1,201,385.25

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Solution

The third proportional to 559,307.25 and 1,201,385.25 is: 2,580,561.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,307.25 : 1,201,385.25 = 1,201,385.25 : x
  2. Step 2: Convert to fraction form
    559,307.25/1,201,385.25 = 1,201,385.25/x
  3. Step 3: Cross multiply
    559,307.25x = 1,201,385.25 × 1,201,385.25
  4. Step 4: Simplify right side
    559,307.25x = 1,443,326,518,917.56
  5. Step 5: Solve for x
    x = 1,443,326,518,917.56/559,307.25
  6. Step 6: Final answer
    x = 2,580,561.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.