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Finding the Third Proportional to 349,006 and 553,534

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Solution

The third proportional to 349,006 and 553,534 is: 877,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,006 : 553,534 = 553,534 : x
  2. Step 2: Convert to fraction form
    349,006/553,534 = 553,534/x
  3. Step 3: Cross multiply
    349,006x = 553,534 × 553,534
  4. Step 4: Simplify right side
    349,006x = 306,399,889,156
  5. Step 5: Solve for x
    x = 306,399,889,156/349,006
  6. Step 6: Final answer
    x = 877,921.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.