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Finding the Third Proportional to 252,054 and 553,801.50

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Solution

The third proportional to 252,054 and 553,801.50 is: 1,216,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,054 : 553,801.50 = 553,801.50 : x
  2. Step 2: Convert to fraction form
    252,054/553,801.50 = 553,801.50/x
  3. Step 3: Cross multiply
    252,054x = 553,801.50 × 553,801.50
  4. Step 4: Simplify right side
    252,054x = 306,696,101,402.25
  5. Step 5: Solve for x
    x = 306,696,101,402.25/252,054
  6. Step 6: Final answer
    x = 1,216,787.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.