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Finding the Third Proportional to 663,457.50 and 1,000,683

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Solution

The third proportional to 663,457.50 and 1,000,683 is: 1,509,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,457.50 : 1,000,683 = 1,000,683 : x
  2. Step 2: Convert to fraction form
    663,457.50/1,000,683 = 1,000,683/x
  3. Step 3: Cross multiply
    663,457.50x = 1,000,683 × 1,000,683
  4. Step 4: Simplify right side
    663,457.50x = 1,001,366,466,489
  5. Step 5: Solve for x
    x = 1,001,366,466,489/663,457.50
  6. Step 6: Final answer
    x = 1,509,315.17

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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.