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Finding the Third Proportional to 357,623.56 and 776,756.50

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Solution

The third proportional to 357,623.56 and 776,756.50 is: 1,687,111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,623.56 : 776,756.50 = 776,756.50 : x
  2. Step 2: Convert to fraction form
    357,623.56/776,756.50 = 776,756.50/x
  3. Step 3: Cross multiply
    357,623.56x = 776,756.50 × 776,756.50
  4. Step 4: Simplify right side
    357,623.56x = 603,350,660,292.25
  5. Step 5: Solve for x
    x = 603,350,660,292.25/357,623.56
  6. Step 6: Final answer
    x = 1,687,111.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.