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Finding the Third Proportional to 510,259.50 and 1,117,476

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Solution

The third proportional to 510,259.50 and 1,117,476 is: 2,447,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,259.50 : 1,117,476 = 1,117,476 : x
  2. Step 2: Convert to fraction form
    510,259.50/1,117,476 = 1,117,476/x
  3. Step 3: Cross multiply
    510,259.50x = 1,117,476 × 1,117,476
  4. Step 4: Simplify right side
    510,259.50x = 1,248,752,610,576
  5. Step 5: Solve for x
    x = 1,248,752,610,576/510,259.50
  6. Step 6: Final answer
    x = 2,447,289.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.