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Finding the Third Proportional to 466,085.25 and 719,734.50

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Solution

The third proportional to 466,085.25 and 719,734.50 is: 1,111,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,085.25 : 719,734.50 = 719,734.50 : x
  2. Step 2: Convert to fraction form
    466,085.25/719,734.50 = 719,734.50/x
  3. Step 3: Cross multiply
    466,085.25x = 719,734.50 × 719,734.50
  4. Step 4: Simplify right side
    466,085.25x = 518,017,750,490.25
  5. Step 5: Solve for x
    x = 518,017,750,490.25/466,085.25
  6. Step 6: Final answer
    x = 1,111,422.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.