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Finding the Third Proportional to 315,214 and 473,146

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Solution

The third proportional to 315,214 and 473,146 is: 710,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214 : 473,146 = 473,146 : x
  2. Step 2: Convert to fraction form
    315,214/473,146 = 473,146/x
  3. Step 3: Cross multiply
    315,214x = 473,146 × 473,146
  4. Step 4: Simplify right side
    315,214x = 223,867,137,316
  5. Step 5: Solve for x
    x = 223,867,137,316/315,214
  6. Step 6: Final answer
    x = 710,206.84

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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.