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Finding the Third Proportional to 464,523 and 678,868.50

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Solution

The third proportional to 464,523 and 678,868.50 is: 992,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,523 : 678,868.50 = 678,868.50 : x
  2. Step 2: Convert to fraction form
    464,523/678,868.50 = 678,868.50/x
  3. Step 3: Cross multiply
    464,523x = 678,868.50 × 678,868.50
  4. Step 4: Simplify right side
    464,523x = 460,862,440,292.25
  5. Step 5: Solve for x
    x = 460,862,440,292.25/464,523
  6. Step 6: Final answer
    x = 992,119.74

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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.