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Finding the Third Proportional to 473,010 and 714,432

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Solution

The third proportional to 473,010 and 714,432 is: 1,079,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,010 : 714,432 = 714,432 : x
  2. Step 2: Convert to fraction form
    473,010/714,432 = 714,432/x
  3. Step 3: Cross multiply
    473,010x = 714,432 × 714,432
  4. Step 4: Simplify right side
    473,010x = 510,413,082,624
  5. Step 5: Solve for x
    x = 510,413,082,624/473,010
  6. Step 6: Final answer
    x = 1,079,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.