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Finding the Third Proportional to 601,552 and 846,368

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Solution

The third proportional to 601,552 and 846,368 is: 1,190,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,552 : 846,368 = 846,368 : x
  2. Step 2: Convert to fraction form
    601,552/846,368 = 846,368/x
  3. Step 3: Cross multiply
    601,552x = 846,368 × 846,368
  4. Step 4: Simplify right side
    601,552x = 716,338,791,424
  5. Step 5: Solve for x
    x = 716,338,791,424/601,552
  6. Step 6: Final answer
    x = 1,190,817.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.