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Finding the Third Proportional to 362,607 and 785,478

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Solution

The third proportional to 362,607 and 785,478 is: 1,701,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,607 : 785,478 = 785,478 : x
  2. Step 2: Convert to fraction form
    362,607/785,478 = 785,478/x
  3. Step 3: Cross multiply
    362,607x = 785,478 × 785,478
  4. Step 4: Simplify right side
    362,607x = 616,975,688,484
  5. Step 5: Solve for x
    x = 616,975,688,484/362,607
  6. Step 6: Final answer
    x = 1,701,499.66

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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.