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Finding the Third Proportional to 291,306 and 623,089.50

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Solution

The third proportional to 291,306 and 623,089.50 is: 1,332,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,306 : 623,089.50 = 623,089.50 : x
  2. Step 2: Convert to fraction form
    291,306/623,089.50 = 623,089.50/x
  3. Step 3: Cross multiply
    291,306x = 623,089.50 × 623,089.50
  4. Step 4: Simplify right side
    291,306x = 388,240,525,010.25
  5. Step 5: Solve for x
    x = 388,240,525,010.25/291,306
  6. Step 6: Final answer
    x = 1,332,758.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.