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Finding the Third Proportional to 640,584 and 982,283

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Solution

The third proportional to 640,584 and 982,283 is: 1,506,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,584 : 982,283 = 982,283 : x
  2. Step 2: Convert to fraction form
    640,584/982,283 = 982,283/x
  3. Step 3: Cross multiply
    640,584x = 982,283 × 982,283
  4. Step 4: Simplify right side
    640,584x = 964,879,892,089
  5. Step 5: Solve for x
    x = 964,879,892,089/640,584
  6. Step 6: Final answer
    x = 1,506,250.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.