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Finding the Third Proportional to 477,501 and 745,314

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Solution

The third proportional to 477,501 and 745,314 is: 1,163,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,501 : 745,314 = 745,314 : x
  2. Step 2: Convert to fraction form
    477,501/745,314 = 745,314/x
  3. Step 3: Cross multiply
    477,501x = 745,314 × 745,314
  4. Step 4: Simplify right side
    477,501x = 555,492,958,596
  5. Step 5: Solve for x
    x = 555,492,958,596/477,501
  6. Step 6: Final answer
    x = 1,163,333.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.