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Finding the Third Proportional to 688,328 and 1,476,300

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Solution

The third proportional to 688,328 and 1,476,300 is: 3,166,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,328 : 1,476,300 = 1,476,300 : x
  2. Step 2: Convert to fraction form
    688,328/1,476,300 = 1,476,300/x
  3. Step 3: Cross multiply
    688,328x = 1,476,300 × 1,476,300
  4. Step 4: Simplify right side
    688,328x = 2,179,461,690,000
  5. Step 5: Solve for x
    x = 2,179,461,690,000/688,328
  6. Step 6: Final answer
    x = 3,166,312.70

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.