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Finding the Third Proportional to 362,210 and 786,688

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Solution

The third proportional to 362,210 and 786,688 is: 1,708,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,210 : 786,688 = 786,688 : x
  2. Step 2: Convert to fraction form
    362,210/786,688 = 786,688/x
  3. Step 3: Cross multiply
    362,210x = 786,688 × 786,688
  4. Step 4: Simplify right side
    362,210x = 618,878,009,344
  5. Step 5: Solve for x
    x = 618,878,009,344/362,210
  6. Step 6: Final answer
    x = 1,708,616.57

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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.