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Finding the Third Proportional to 563,877 and 863,677.50

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Solution

The third proportional to 563,877 and 863,677.50 is: 1,322,875.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,877 : 863,677.50 = 863,677.50 : x
  2. Step 2: Convert to fraction form
    563,877/863,677.50 = 863,677.50/x
  3. Step 3: Cross multiply
    563,877x = 863,677.50 × 863,677.50
  4. Step 4: Simplify right side
    563,877x = 745,938,824,006.25
  5. Step 5: Solve for x
    x = 745,938,824,006.25/563,877
  6. Step 6: Final answer
    x = 1,322,875.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.