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Finding the Third Proportional to 346,232.50 and 517,964.50

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Solution

The third proportional to 346,232.50 and 517,964.50 is: 774,875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,232.50 : 517,964.50 = 517,964.50 : x
  2. Step 2: Convert to fraction form
    346,232.50/517,964.50 = 517,964.50/x
  3. Step 3: Cross multiply
    346,232.50x = 517,964.50 × 517,964.50
  4. Step 4: Simplify right side
    346,232.50x = 268,287,223,260.25
  5. Step 5: Solve for x
    x = 268,287,223,260.25/346,232.50
  6. Step 6: Final answer
    x = 774,875.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.