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Finding the Third Proportional to 643,721 and 973,864.50

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Solution

The third proportional to 643,721 and 973,864.50 is: 1,473,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,721 : 973,864.50 = 973,864.50 : x
  2. Step 2: Convert to fraction form
    643,721/973,864.50 = 973,864.50/x
  3. Step 3: Cross multiply
    643,721x = 973,864.50 × 973,864.50
  4. Step 4: Simplify right side
    643,721x = 948,412,064,360.25
  5. Step 5: Solve for x
    x = 948,412,064,360.25/643,721
  6. Step 6: Final answer
    x = 1,473,327.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.