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Finding the Third Proportional to 442,014 and 679,801.50

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Solution

The third proportional to 442,014 and 679,801.50 is: 1,045,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,014 : 679,801.50 = 679,801.50 : x
  2. Step 2: Convert to fraction form
    442,014/679,801.50 = 679,801.50/x
  3. Step 3: Cross multiply
    442,014x = 679,801.50 × 679,801.50
  4. Step 4: Simplify right side
    442,014x = 462,130,079,402.25
  5. Step 5: Solve for x
    x = 462,130,079,402.25/442,014
  6. Step 6: Final answer
    x = 1,045,510.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.