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Finding the Third Proportional to 319,374 and 695,443.50

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Solution

The third proportional to 319,374 and 695,443.50 is: 1,514,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,374 : 695,443.50 = 695,443.50 : x
  2. Step 2: Convert to fraction form
    319,374/695,443.50 = 695,443.50/x
  3. Step 3: Cross multiply
    319,374x = 695,443.50 × 695,443.50
  4. Step 4: Simplify right side
    319,374x = 483,641,661,692.25
  5. Step 5: Solve for x
    x = 483,641,661,692.25/319,374
  6. Step 6: Final answer
    x = 1,514,342.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.