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Finding the Third Proportional to 368,952 and 556,007

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Solution

The third proportional to 368,952 and 556,007 is: 837,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,952 : 556,007 = 556,007 : x
  2. Step 2: Convert to fraction form
    368,952/556,007 = 556,007/x
  3. Step 3: Cross multiply
    368,952x = 556,007 × 556,007
  4. Step 4: Simplify right side
    368,952x = 309,143,784,049
  5. Step 5: Solve for x
    x = 309,143,784,049/368,952
  6. Step 6: Final answer
    x = 837,897.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.