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Finding the Third Proportional to 357,052 and 553,214

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Solution

The third proportional to 357,052 and 553,214 is: 857,146.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,052 : 553,214 = 553,214 : x
  2. Step 2: Convert to fraction form
    357,052/553,214 = 553,214/x
  3. Step 3: Cross multiply
    357,052x = 553,214 × 553,214
  4. Step 4: Simplify right side
    357,052x = 306,045,729,796
  5. Step 5: Solve for x
    x = 306,045,729,796/357,052
  6. Step 6: Final answer
    x = 857,146.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.