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Finding the Third Proportional to 586,779.19 and 837,519.75

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Solution

The third proportional to 586,779.19 and 837,519.75 is: 1,195,405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,779.19 : 837,519.75 = 837,519.75 : x
  2. Step 2: Convert to fraction form
    586,779.19/837,519.75 = 837,519.75/x
  3. Step 3: Cross multiply
    586,779.19x = 837,519.75 × 837,519.75
  4. Step 4: Simplify right side
    586,779.19x = 701,439,331,640.06
  5. Step 5: Solve for x
    x = 701,439,331,640.06/586,779.19
  6. Step 6: Final answer
    x = 1,195,405.95

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.