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Finding the Third Proportional to 353,681 and 723,703

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Solution

The third proportional to 353,681 and 723,703 is: 1,480,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,681 : 723,703 = 723,703 : x
  2. Step 2: Convert to fraction form
    353,681/723,703 = 723,703/x
  3. Step 3: Cross multiply
    353,681x = 723,703 × 723,703
  4. Step 4: Simplify right side
    353,681x = 523,746,032,209
  5. Step 5: Solve for x
    x = 523,746,032,209/353,681
  6. Step 6: Final answer
    x = 1,480,843.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.