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Finding the Third Proportional to 470,314 and 709,715

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Solution

The third proportional to 470,314 and 709,715 is: 1,070,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,314 : 709,715 = 709,715 : x
  2. Step 2: Convert to fraction form
    470,314/709,715 = 709,715/x
  3. Step 3: Cross multiply
    470,314x = 709,715 × 709,715
  4. Step 4: Simplify right side
    470,314x = 503,695,381,225
  5. Step 5: Solve for x
    x = 503,695,381,225/470,314
  6. Step 6: Final answer
    x = 1,070,976.80

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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.