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Finding the Third Proportional to 346,738.50 and 750,334.50

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Solution

The third proportional to 346,738.50 and 750,334.50 is: 1,623,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,738.50 : 750,334.50 = 750,334.50 : x
  2. Step 2: Convert to fraction form
    346,738.50/750,334.50 = 750,334.50/x
  3. Step 3: Cross multiply
    346,738.50x = 750,334.50 × 750,334.50
  4. Step 4: Simplify right side
    346,738.50x = 563,001,861,890.25
  5. Step 5: Solve for x
    x = 563,001,861,890.25/346,738.50
  6. Step 6: Final answer
    x = 1,623,707.38

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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.