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Finding the Third Proportional to 688,621.50 and 1,006,506

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Solution

The third proportional to 688,621.50 and 1,006,506 is: 1,471,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,621.50 : 1,006,506 = 1,006,506 : x
  2. Step 2: Convert to fraction form
    688,621.50/1,006,506 = 1,006,506/x
  3. Step 3: Cross multiply
    688,621.50x = 1,006,506 × 1,006,506
  4. Step 4: Simplify right side
    688,621.50x = 1,013,054,328,036
  5. Step 5: Solve for x
    x = 1,013,054,328,036/688,621.50
  6. Step 6: Final answer
    x = 1,471,133.75

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.