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Finding the Third Proportional to 466,623 and 721,803

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Solution

The third proportional to 466,623 and 721,803 is: 1,116,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,623 : 721,803 = 721,803 : x
  2. Step 2: Convert to fraction form
    466,623/721,803 = 721,803/x
  3. Step 3: Cross multiply
    466,623x = 721,803 × 721,803
  4. Step 4: Simplify right side
    466,623x = 520,999,570,809
  5. Step 5: Solve for x
    x = 520,999,570,809/466,623
  6. Step 6: Final answer
    x = 1,116,532.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.