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Finding the Third Proportional to 375,313 and 553,047

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Solution

The third proportional to 375,313 and 553,047 is: 814,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,313 : 553,047 = 553,047 : x
  2. Step 2: Convert to fraction form
    375,313/553,047 = 553,047/x
  3. Step 3: Cross multiply
    375,313x = 553,047 × 553,047
  4. Step 4: Simplify right side
    375,313x = 305,860,984,209
  5. Step 5: Solve for x
    x = 305,860,984,209/375,313
  6. Step 6: Final answer
    x = 814,949.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.