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Finding the Third Proportional to 590,579 and 916,202.50

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Solution

The third proportional to 590,579 and 916,202.50 is: 1,421,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,579 : 916,202.50 = 916,202.50 : x
  2. Step 2: Convert to fraction form
    590,579/916,202.50 = 916,202.50/x
  3. Step 3: Cross multiply
    590,579x = 916,202.50 × 916,202.50
  4. Step 4: Simplify right side
    590,579x = 839,427,021,006.25
  5. Step 5: Solve for x
    x = 839,427,021,006.25/590,579
  6. Step 6: Final answer
    x = 1,421,362.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.