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Finding the Third Proportional to 540,176.50 and 1,160,417

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Solution

The third proportional to 540,176.50 and 1,160,417 is: 2,492,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,176.50 : 1,160,417 = 1,160,417 : x
  2. Step 2: Convert to fraction form
    540,176.50/1,160,417 = 1,160,417/x
  3. Step 3: Cross multiply
    540,176.50x = 1,160,417 × 1,160,417
  4. Step 4: Simplify right side
    540,176.50x = 1,346,567,613,889
  5. Step 5: Solve for x
    x = 1,346,567,613,889/540,176.50
  6. Step 6: Final answer
    x = 2,492,828.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.