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Finding the Third Proportional to 347,783 and 732,929

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Solution

The third proportional to 347,783 and 732,929 is: 1,544,597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,783 : 732,929 = 732,929 : x
  2. Step 2: Convert to fraction form
    347,783/732,929 = 732,929/x
  3. Step 3: Cross multiply
    347,783x = 732,929 × 732,929
  4. Step 4: Simplify right side
    347,783x = 537,184,919,041
  5. Step 5: Solve for x
    x = 537,184,919,041/347,783
  6. Step 6: Final answer
    x = 1,544,597.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.