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Finding the Third Proportional to 276,621,352.50 and 420,596,259.75

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Solution

The third proportional to 276,621,352.50 and 420,596,259.75 is: 639,506,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,621,352.50 : 420,596,259.75 = 420,596,259.75 : x
  2. Step 2: Convert to fraction form
    276,621,352.50/420,596,259.75 = 420,596,259.75/x
  3. Step 3: Cross multiply
    276,621,352.50x = 420,596,259.75 × 420,596,259.75
  4. Step 4: Simplify right side
    276,621,352.50x = 176,901,213,715,689,472
  5. Step 5: Solve for x
    x = 176,901,213,715,689,472/276,621,352.50
  6. Step 6: Final answer
    x = 639,506,719.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.