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Finding the Third Proportional to 437,139 and 695,092.50

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Solution

The third proportional to 437,139 and 695,092.50 is: 1,105,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,139 : 695,092.50 = 695,092.50 : x
  2. Step 2: Convert to fraction form
    437,139/695,092.50 = 695,092.50/x
  3. Step 3: Cross multiply
    437,139x = 695,092.50 × 695,092.50
  4. Step 4: Simplify right side
    437,139x = 483,153,583,556.25
  5. Step 5: Solve for x
    x = 483,153,583,556.25/437,139
  6. Step 6: Final answer
    x = 1,105,263.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.