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Finding the Third Proportional to 344,764 and 532,362

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Solution

The third proportional to 344,764 and 532,362 is: 822,038.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,764 : 532,362 = 532,362 : x
  2. Step 2: Convert to fraction form
    344,764/532,362 = 532,362/x
  3. Step 3: Cross multiply
    344,764x = 532,362 × 532,362
  4. Step 4: Simplify right side
    344,764x = 283,409,299,044
  5. Step 5: Solve for x
    x = 283,409,299,044/344,764
  6. Step 6: Final answer
    x = 822,038.55

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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.