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Finding the Third Proportional to 347,786 and 732,930.50

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Solution

The third proportional to 347,786 and 732,930.50 is: 1,544,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,786 : 732,930.50 = 732,930.50 : x
  2. Step 2: Convert to fraction form
    347,786/732,930.50 = 732,930.50/x
  3. Step 3: Cross multiply
    347,786x = 732,930.50 × 732,930.50
  4. Step 4: Simplify right side
    347,786x = 537,187,117,830.25
  5. Step 5: Solve for x
    x = 537,187,117,830.25/347,786
  6. Step 6: Final answer
    x = 1,544,590.98

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