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Finding the Third Proportional to 347,803 and 553,264

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Solution

The third proportional to 347,803 and 553,264 is: 880,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,803 : 553,264 = 553,264 : x
  2. Step 2: Convert to fraction form
    347,803/553,264 = 553,264/x
  3. Step 3: Cross multiply
    347,803x = 553,264 × 553,264
  4. Step 4: Simplify right side
    347,803x = 306,101,053,696
  5. Step 5: Solve for x
    x = 306,101,053,696/347,803
  6. Step 6: Final answer
    x = 880,098.95

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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.