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Finding the Third Proportional to 346,860.94 and 731,680.03

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Solution

The third proportional to 346,860.94 and 731,680.03 is: 1,543,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,860.94 : 731,680.03 = 731,680.03 : x
  2. Step 2: Convert to fraction form
    346,860.94/731,680.03 = 731,680.03/x
  3. Step 3: Cross multiply
    346,860.94x = 731,680.03 × 731,680.03
  4. Step 4: Simplify right side
    346,860.94x = 535,355,668,130.00
  5. Step 5: Solve for x
    x = 535,355,668,130.00/346,860.94
  6. Step 6: Final answer
    x = 1,543,430.26

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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.