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Finding the Third Proportional to 682,528 and 1,006,300

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Solution

The third proportional to 682,528 and 1,006,300 is: 1,483,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,528 : 1,006,300 = 1,006,300 : x
  2. Step 2: Convert to fraction form
    682,528/1,006,300 = 1,006,300/x
  3. Step 3: Cross multiply
    682,528x = 1,006,300 × 1,006,300
  4. Step 4: Simplify right side
    682,528x = 1,012,639,690,000
  5. Step 5: Solve for x
    x = 1,012,639,690,000/682,528
  6. Step 6: Final answer
    x = 1,483,660.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.