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Finding the Third Proportional to 385,143 and 590,710.50

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Solution

The third proportional to 385,143 and 590,710.50 is: 905,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,143 : 590,710.50 = 590,710.50 : x
  2. Step 2: Convert to fraction form
    385,143/590,710.50 = 590,710.50/x
  3. Step 3: Cross multiply
    385,143x = 590,710.50 × 590,710.50
  4. Step 4: Simplify right side
    385,143x = 348,938,894,810.25
  5. Step 5: Solve for x
    x = 348,938,894,810.25/385,143
  6. Step 6: Final answer
    x = 905,998.28

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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.