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Finding the Third Proportional to 346,571 and 758,365

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Solution

The third proportional to 346,571 and 758,365 is: 1,659,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,571 : 758,365 = 758,365 : x
  2. Step 2: Convert to fraction form
    346,571/758,365 = 758,365/x
  3. Step 3: Cross multiply
    346,571x = 758,365 × 758,365
  4. Step 4: Simplify right side
    346,571x = 575,117,473,225
  5. Step 5: Solve for x
    x = 575,117,473,225/346,571
  6. Step 6: Final answer
    x = 1,659,450.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.