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Finding the Third Proportional to 326,898 and 708,045.50

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Solution

The third proportional to 326,898 and 708,045.50 is: 1,533,592.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,898 : 708,045.50 = 708,045.50 : x
  2. Step 2: Convert to fraction form
    326,898/708,045.50 = 708,045.50/x
  3. Step 3: Cross multiply
    326,898x = 708,045.50 × 708,045.50
  4. Step 4: Simplify right side
    326,898x = 501,328,430,070.25
  5. Step 5: Solve for x
    x = 501,328,430,070.25/326,898
  6. Step 6: Final answer
    x = 1,533,592.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.