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Finding the Third Proportional to 369,214 and 553,206

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Solution

The third proportional to 369,214 and 553,206 is: 828,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,214 : 553,206 = 553,206 : x
  2. Step 2: Convert to fraction form
    369,214/553,206 = 553,206/x
  3. Step 3: Cross multiply
    369,214x = 553,206 × 553,206
  4. Step 4: Simplify right side
    369,214x = 306,036,878,436
  5. Step 5: Solve for x
    x = 306,036,878,436/369,214
  6. Step 6: Final answer
    x = 828,887.52

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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.