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Finding the Third Proportional to 358,932 and 755,046

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Solution

The third proportional to 358,932 and 755,046 is: 1,588,307.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,932 : 755,046 = 755,046 : x
  2. Step 2: Convert to fraction form
    358,932/755,046 = 755,046/x
  3. Step 3: Cross multiply
    358,932x = 755,046 × 755,046
  4. Step 4: Simplify right side
    358,932x = 570,094,462,116
  5. Step 5: Solve for x
    x = 570,094,462,116/358,932
  6. Step 6: Final answer
    x = 1,588,307.71

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.