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Finding the Third Proportional to 416,335 and 865,395

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Solution

The third proportional to 416,335 and 865,395 is: 1,798,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,335 : 865,395 = 865,395 : x
  2. Step 2: Convert to fraction form
    416,335/865,395 = 865,395/x
  3. Step 3: Cross multiply
    416,335x = 865,395 × 865,395
  4. Step 4: Simplify right side
    416,335x = 748,908,506,025
  5. Step 5: Solve for x
    x = 748,908,506,025/416,335
  6. Step 6: Final answer
    x = 1,798,812.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.