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Finding the Third Proportional to 346,657.50 and 522,445.50

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Solution

The third proportional to 346,657.50 and 522,445.50 is: 787,374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,657.50 : 522,445.50 = 522,445.50 : x
  2. Step 2: Convert to fraction form
    346,657.50/522,445.50 = 522,445.50/x
  3. Step 3: Cross multiply
    346,657.50x = 522,445.50 × 522,445.50
  4. Step 4: Simplify right side
    346,657.50x = 272,949,300,470.25
  5. Step 5: Solve for x
    x = 272,949,300,470.25/346,657.50
  6. Step 6: Final answer
    x = 787,374.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.