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Finding the Third Proportional to 470,765 and 604,447

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Solution

The third proportional to 470,765 and 604,447 is: 776,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,765 : 604,447 = 604,447 : x
  2. Step 2: Convert to fraction form
    470,765/604,447 = 604,447/x
  3. Step 3: Cross multiply
    470,765x = 604,447 × 604,447
  4. Step 4: Simplify right side
    470,765x = 365,356,175,809
  5. Step 5: Solve for x
    x = 365,356,175,809/470,765
  6. Step 6: Final answer
    x = 776,090.35

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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.