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Finding the Third Proportional to 540,621 and 778,747.50

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Solution

The third proportional to 540,621 and 778,747.50 is: 1,121,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,621 : 778,747.50 = 778,747.50 : x
  2. Step 2: Convert to fraction form
    540,621/778,747.50 = 778,747.50/x
  3. Step 3: Cross multiply
    540,621x = 778,747.50 × 778,747.50
  4. Step 4: Simplify right side
    540,621x = 606,447,668,756.25
  5. Step 5: Solve for x
    x = 606,447,668,756.25/540,621
  6. Step 6: Final answer
    x = 1,121,761.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.