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Finding the Third Proportional to 349,984 and 767,763

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Solution

The third proportional to 349,984 and 767,763 is: 1,684,248.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,984 : 767,763 = 767,763 : x
  2. Step 2: Convert to fraction form
    349,984/767,763 = 767,763/x
  3. Step 3: Cross multiply
    349,984x = 767,763 × 767,763
  4. Step 4: Simplify right side
    349,984x = 589,460,024,169
  5. Step 5: Solve for x
    x = 589,460,024,169/349,984
  6. Step 6: Final answer
    x = 1,684,248.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.