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Finding the Third Proportional to 464,700 and 688,414.50

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Solution

The third proportional to 464,700 and 688,414.50 is: 1,019,828.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,700 : 688,414.50 = 688,414.50 : x
  2. Step 2: Convert to fraction form
    464,700/688,414.50 = 688,414.50/x
  3. Step 3: Cross multiply
    464,700x = 688,414.50 × 688,414.50
  4. Step 4: Simplify right side
    464,700x = 473,914,523,810.25
  5. Step 5: Solve for x
    x = 473,914,523,810.25/464,700
  6. Step 6: Final answer
    x = 1,019,828.97

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.