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Finding the Third Proportional to 345,960 and 750,960

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Solution

The third proportional to 345,960 and 750,960 is: 1,630,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,960 : 750,960 = 750,960 : x
  2. Step 2: Convert to fraction form
    345,960/750,960 = 750,960/x
  3. Step 3: Cross multiply
    345,960x = 750,960 × 750,960
  4. Step 4: Simplify right side
    345,960x = 563,940,921,600
  5. Step 5: Solve for x
    x = 563,940,921,600/345,960
  6. Step 6: Final answer
    x = 1,630,075.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.