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Finding the Third Proportional to 470,782 and 604,471

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Solution

The third proportional to 470,782 and 604,471 is: 776,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,782 : 604,471 = 604,471 : x
  2. Step 2: Convert to fraction form
    470,782/604,471 = 604,471/x
  3. Step 3: Cross multiply
    470,782x = 604,471 × 604,471
  4. Step 4: Simplify right side
    470,782x = 365,385,189,841
  5. Step 5: Solve for x
    x = 365,385,189,841/470,782
  6. Step 6: Final answer
    x = 776,123.96

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.