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Finding the Third Proportional to 470,775 and 604,461

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Solution

The third proportional to 470,775 and 604,461 is: 776,109.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,775 : 604,461 = 604,461 : x
  2. Step 2: Convert to fraction form
    470,775/604,461 = 604,461/x
  3. Step 3: Cross multiply
    470,775x = 604,461 × 604,461
  4. Step 4: Simplify right side
    470,775x = 365,373,100,521
  5. Step 5: Solve for x
    x = 365,373,100,521/470,775
  6. Step 6: Final answer
    x = 776,109.82

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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.