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Finding the Third Proportional to 375,948 and 575,829

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Solution

The third proportional to 375,948 and 575,829 is: 881,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,948 : 575,829 = 575,829 : x
  2. Step 2: Convert to fraction form
    375,948/575,829 = 575,829/x
  3. Step 3: Cross multiply
    375,948x = 575,829 × 575,829
  4. Step 4: Simplify right side
    375,948x = 331,579,037,241
  5. Step 5: Solve for x
    x = 331,579,037,241/375,948
  6. Step 6: Final answer
    x = 881,981.12

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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.