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Finding the Third Proportional to 319,267.50 and 688,363.50

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Solution

The third proportional to 319,267.50 and 688,363.50 is: 1,484,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,267.50 : 688,363.50 = 688,363.50 : x
  2. Step 2: Convert to fraction form
    319,267.50/688,363.50 = 688,363.50/x
  3. Step 3: Cross multiply
    319,267.50x = 688,363.50 × 688,363.50
  4. Step 4: Simplify right side
    319,267.50x = 473,844,308,132.25
  5. Step 5: Solve for x
    x = 473,844,308,132.25/319,267.50
  6. Step 6: Final answer
    x = 1,484,160.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.