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Finding the Third Proportional to 375,918 and 575,784

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Solution

The third proportional to 375,918 and 575,784 is: 881,913.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,918 : 575,784 = 575,784 : x
  2. Step 2: Convert to fraction form
    375,918/575,784 = 575,784/x
  3. Step 3: Cross multiply
    375,918x = 575,784 × 575,784
  4. Step 4: Simplify right side
    375,918x = 331,527,214,656
  5. Step 5: Solve for x
    x = 331,527,214,656/375,918
  6. Step 6: Final answer
    x = 881,913.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.