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Finding the Third Proportional to 470,799 and 604,503

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Solution

The third proportional to 470,799 and 604,503 is: 776,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,799 : 604,503 = 604,503 : x
  2. Step 2: Convert to fraction form
    470,799/604,503 = 604,503/x
  3. Step 3: Cross multiply
    470,799x = 604,503 × 604,503
  4. Step 4: Simplify right side
    470,799x = 365,423,877,009
  5. Step 5: Solve for x
    x = 365,423,877,009/470,799
  6. Step 6: Final answer
    x = 776,178.11

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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.