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Finding the Third Proportional to 346,752 and 720,996

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Solution

The third proportional to 346,752 and 720,996 is: 1,499,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,752 : 720,996 = 720,996 : x
  2. Step 2: Convert to fraction form
    346,752/720,996 = 720,996/x
  3. Step 3: Cross multiply
    346,752x = 720,996 × 720,996
  4. Step 4: Simplify right side
    346,752x = 519,835,232,016
  5. Step 5: Solve for x
    x = 519,835,232,016/346,752
  6. Step 6: Final answer
    x = 1,499,155.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.