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Finding the Third Proportional to 375,948 and 583,010

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Solution

The third proportional to 375,948 and 583,010 is: 904,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,948 : 583,010 = 583,010 : x
  2. Step 2: Convert to fraction form
    375,948/583,010 = 583,010/x
  3. Step 3: Cross multiply
    375,948x = 583,010 × 583,010
  4. Step 4: Simplify right side
    375,948x = 339,900,660,100
  5. Step 5: Solve for x
    x = 339,900,660,100/375,948
  6. Step 6: Final answer
    x = 904,116.15

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