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Finding the Third Proportional to 369,214.88 and 553,206.38

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Solution

The third proportional to 369,214.88 and 553,206.38 is: 828,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,214.88 : 553,206.38 = 553,206.38 : x
  2. Step 2: Convert to fraction form
    369,214.88/553,206.38 = 553,206.38/x
  3. Step 3: Cross multiply
    369,214.88x = 553,206.38 × 553,206.38
  4. Step 4: Simplify right side
    369,214.88x = 306,037,293,340.64
  5. Step 5: Solve for x
    x = 306,037,293,340.64/369,214.88
  6. Step 6: Final answer
    x = 828,886.68

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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.