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Finding the Third Proportional to 334,308 and 723,103

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Solution

The third proportional to 334,308 and 723,103 is: 1,564,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,308 : 723,103 = 723,103 : x
  2. Step 2: Convert to fraction form
    334,308/723,103 = 723,103/x
  3. Step 3: Cross multiply
    334,308x = 723,103 × 723,103
  4. Step 4: Simplify right side
    334,308x = 522,877,948,609
  5. Step 5: Solve for x
    x = 522,877,948,609/334,308
  6. Step 6: Final answer
    x = 1,564,060.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.