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Finding the Third Proportional to 440,973 and 660,244.50

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Solution

The third proportional to 440,973 and 660,244.50 is: 988,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,973 : 660,244.50 = 660,244.50 : x
  2. Step 2: Convert to fraction form
    440,973/660,244.50 = 660,244.50/x
  3. Step 3: Cross multiply
    440,973x = 660,244.50 × 660,244.50
  4. Step 4: Simplify right side
    440,973x = 435,922,799,780.25
  5. Step 5: Solve for x
    x = 435,922,799,780.25/440,973
  6. Step 6: Final answer
    x = 988,547.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.