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Finding the Third Proportional to 254,374.50 and 553,036.50

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Solution

The third proportional to 254,374.50 and 553,036.50 is: 1,202,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,374.50 : 553,036.50 = 553,036.50 : x
  2. Step 2: Convert to fraction form
    254,374.50/553,036.50 = 553,036.50/x
  3. Step 3: Cross multiply
    254,374.50x = 553,036.50 × 553,036.50
  4. Step 4: Simplify right side
    254,374.50x = 305,849,370,332.25
  5. Step 5: Solve for x
    x = 305,849,370,332.25/254,374.50
  6. Step 6: Final answer
    x = 1,202,358.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.