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Finding the Third Proportional to 315,179 and 473,091

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Solution

The third proportional to 315,179 and 473,091 is: 710,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,179 : 473,091 = 473,091 : x
  2. Step 2: Convert to fraction form
    315,179/473,091 = 473,091/x
  3. Step 3: Cross multiply
    315,179x = 473,091 × 473,091
  4. Step 4: Simplify right side
    315,179x = 223,815,094,281
  5. Step 5: Solve for x
    x = 223,815,094,281/315,179
  6. Step 6: Final answer
    x = 710,120.58

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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.