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Finding the Third Proportional to 358,038 and 772,123.50

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Solution

The third proportional to 358,038 and 772,123.50 is: 1,665,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,038 : 772,123.50 = 772,123.50 : x
  2. Step 2: Convert to fraction form
    358,038/772,123.50 = 772,123.50/x
  3. Step 3: Cross multiply
    358,038x = 772,123.50 × 772,123.50
  4. Step 4: Simplify right side
    358,038x = 596,174,699,252.25
  5. Step 5: Solve for x
    x = 596,174,699,252.25/358,038
  6. Step 6: Final answer
    x = 1,665,115.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.