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Finding the Third Proportional to 387,913 and 602,048

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Solution

The third proportional to 387,913 and 602,048 is: 934,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,913 : 602,048 = 602,048 : x
  2. Step 2: Convert to fraction form
    387,913/602,048 = 602,048/x
  3. Step 3: Cross multiply
    387,913x = 602,048 × 602,048
  4. Step 4: Simplify right side
    387,913x = 362,461,794,304
  5. Step 5: Solve for x
    x = 362,461,794,304/387,913
  6. Step 6: Final answer
    x = 934,389.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.