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Finding the Third Proportional to 464,511 and 678,842.50

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Solution

The third proportional to 464,511 and 678,842.50 is: 992,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,511 : 678,842.50 = 678,842.50 : x
  2. Step 2: Convert to fraction form
    464,511/678,842.50 = 678,842.50/x
  3. Step 3: Cross multiply
    464,511x = 678,842.50 × 678,842.50
  4. Step 4: Simplify right side
    464,511x = 460,827,139,806.25
  5. Step 5: Solve for x
    x = 460,827,139,806.25/464,511
  6. Step 6: Final answer
    x = 992,069.38

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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.