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Finding the Third Proportional to 346,752 and 716,760

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Solution

The third proportional to 346,752 and 716,760 is: 1,481,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,752 : 716,760 = 716,760 : x
  2. Step 2: Convert to fraction form
    346,752/716,760 = 716,760/x
  3. Step 3: Cross multiply
    346,752x = 716,760 × 716,760
  4. Step 4: Simplify right side
    346,752x = 513,744,897,600
  5. Step 5: Solve for x
    x = 513,744,897,600/346,752
  6. Step 6: Final answer
    x = 1,481,591.74

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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.