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Finding the Third Proportional to 560,210 and 846,984

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Solution

The third proportional to 560,210 and 846,984 is: 1,280,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,210 : 846,984 = 846,984 : x
  2. Step 2: Convert to fraction form
    560,210/846,984 = 846,984/x
  3. Step 3: Cross multiply
    560,210x = 846,984 × 846,984
  4. Step 4: Simplify right side
    560,210x = 717,381,896,256
  5. Step 5: Solve for x
    x = 717,381,896,256/560,210
  6. Step 6: Final answer
    x = 1,280,558.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.