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Finding the Third Proportional to 346,620 and 750,102

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Solution

The third proportional to 346,620 and 750,102 is: 1,623,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,620 : 750,102 = 750,102 : x
  2. Step 2: Convert to fraction form
    346,620/750,102 = 750,102/x
  3. Step 3: Cross multiply
    346,620x = 750,102 × 750,102
  4. Step 4: Simplify right side
    346,620x = 562,653,010,404
  5. Step 5: Solve for x
    x = 562,653,010,404/346,620
  6. Step 6: Final answer
    x = 1,623,256.05

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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.