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Finding the Third Proportional to 345,386.53 and 532,842.05

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Solution

The third proportional to 345,386.53 and 532,842.05 is: 822,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,386.53 : 532,842.05 = 532,842.05 : x
  2. Step 2: Convert to fraction form
    345,386.53/532,842.05 = 532,842.05/x
  3. Step 3: Cross multiply
    345,386.53x = 532,842.05 × 532,842.05
  4. Step 4: Simplify right side
    345,386.53x = 283,920,646,917.94
  5. Step 5: Solve for x
    x = 283,920,646,917.94/345,386.53
  6. Step 6: Final answer
    x = 822,037.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.