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Finding the Third Proportional to 463,869 and 705,541.50

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Solution

The third proportional to 463,869 and 705,541.50 is: 1,073,123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,869 : 705,541.50 = 705,541.50 : x
  2. Step 2: Convert to fraction form
    463,869/705,541.50 = 705,541.50/x
  3. Step 3: Cross multiply
    463,869x = 705,541.50 × 705,541.50
  4. Step 4: Simplify right side
    463,869x = 497,788,808,222.25
  5. Step 5: Solve for x
    x = 497,788,808,222.25/463,869
  6. Step 6: Final answer
    x = 1,073,123.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.