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Finding the Third Proportional to 346,034 and 750,820

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Solution

The third proportional to 346,034 and 750,820 is: 1,629,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,034 : 750,820 = 750,820 : x
  2. Step 2: Convert to fraction form
    346,034/750,820 = 750,820/x
  3. Step 3: Cross multiply
    346,034x = 750,820 × 750,820
  4. Step 4: Simplify right side
    346,034x = 563,730,672,400
  5. Step 5: Solve for x
    x = 563,730,672,400/346,034
  6. Step 6: Final answer
    x = 1,629,119.31

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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.