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Finding the Third Proportional to 350,590 and 767,518

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Solution

The third proportional to 350,590 and 767,518 is: 1,680,264.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,590 : 767,518 = 767,518 : x
  2. Step 2: Convert to fraction form
    350,590/767,518 = 767,518/x
  3. Step 3: Cross multiply
    350,590x = 767,518 × 767,518
  4. Step 4: Simplify right side
    350,590x = 589,083,880,324
  5. Step 5: Solve for x
    x = 589,083,880,324/350,590
  6. Step 6: Final answer
    x = 1,680,264.36

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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.