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Finding the Third Proportional to 387,345 and 849,345

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Solution

The third proportional to 387,345 and 849,345 is: 1,862,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,345 : 849,345 = 849,345 : x
  2. Step 2: Convert to fraction form
    387,345/849,345 = 849,345/x
  3. Step 3: Cross multiply
    387,345x = 849,345 × 849,345
  4. Step 4: Simplify right side
    387,345x = 721,386,929,025
  5. Step 5: Solve for x
    x = 721,386,929,025/387,345
  6. Step 6: Final answer
    x = 1,862,388.64

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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.