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Finding the Third Proportional to 346,754 and 716,764

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Solution

The third proportional to 346,754 and 716,764 is: 1,481,599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,754 : 716,764 = 716,764 : x
  2. Step 2: Convert to fraction form
    346,754/716,764 = 716,764/x
  3. Step 3: Cross multiply
    346,754x = 716,764 × 716,764
  4. Step 4: Simplify right side
    346,754x = 513,750,631,696
  5. Step 5: Solve for x
    x = 513,750,631,696/346,754
  6. Step 6: Final answer
    x = 1,481,599.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.