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Finding the Third Proportional to 268,468 and 578,947.50

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Solution

The third proportional to 268,468 and 578,947.50 is: 1,248,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,468 : 578,947.50 = 578,947.50 : x
  2. Step 2: Convert to fraction form
    268,468/578,947.50 = 578,947.50/x
  3. Step 3: Cross multiply
    268,468x = 578,947.50 × 578,947.50
  4. Step 4: Simplify right side
    268,468x = 335,180,207,756.25
  5. Step 5: Solve for x
    x = 335,180,207,756.25/268,468
  6. Step 6: Final answer
    x = 1,248,492.21

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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.