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Finding the Third Proportional to 346,528.50 and 518,382

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Solution

The third proportional to 346,528.50 and 518,382 is: 775,462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,528.50 : 518,382 = 518,382 : x
  2. Step 2: Convert to fraction form
    346,528.50/518,382 = 518,382/x
  3. Step 3: Cross multiply
    346,528.50x = 518,382 × 518,382
  4. Step 4: Simplify right side
    346,528.50x = 268,719,897,924
  5. Step 5: Solve for x
    x = 268,719,897,924/346,528.50
  6. Step 6: Final answer
    x = 775,462.62

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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.