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Finding the Third Proportional to 470,788 and 604,478

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Solution

The third proportional to 470,788 and 604,478 is: 776,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,788 : 604,478 = 604,478 : x
  2. Step 2: Convert to fraction form
    470,788/604,478 = 604,478/x
  3. Step 3: Cross multiply
    470,788x = 604,478 × 604,478
  4. Step 4: Simplify right side
    470,788x = 365,393,652,484
  5. Step 5: Solve for x
    x = 365,393,652,484/470,788
  6. Step 6: Final answer
    x = 776,132.04

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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.