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Finding the Third Proportional to 346,160 and 744,028

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Solution

The third proportional to 346,160 and 744,028 is: 1,599,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,160 : 744,028 = 744,028 : x
  2. Step 2: Convert to fraction form
    346,160/744,028 = 744,028/x
  3. Step 3: Cross multiply
    346,160x = 744,028 × 744,028
  4. Step 4: Simplify right side
    346,160x = 553,577,664,784
  5. Step 5: Solve for x
    x = 553,577,664,784/346,160
  6. Step 6: Final answer
    x = 1,599,195.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.