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Finding the Third Proportional to 577,173 and 1,265,167.50

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Solution

The third proportional to 577,173 and 1,265,167.50 is: 2,773,256.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,173 : 1,265,167.50 = 1,265,167.50 : x
  2. Step 2: Convert to fraction form
    577,173/1,265,167.50 = 1,265,167.50/x
  3. Step 3: Cross multiply
    577,173x = 1,265,167.50 × 1,265,167.50
  4. Step 4: Simplify right side
    577,173x = 1,600,648,803,056.25
  5. Step 5: Solve for x
    x = 1,600,648,803,056.25/577,173
  6. Step 6: Final answer
    x = 2,773,256.55

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Why These Related Problems?

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