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Finding the Third Proportional to 458,313.19 and 598,827.94

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Solution

The third proportional to 458,313.19 and 598,827.94 is: 782,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,313.19 : 598,827.94 = 598,827.94 : x
  2. Step 2: Convert to fraction form
    458,313.19/598,827.94 = 598,827.94/x
  3. Step 3: Cross multiply
    458,313.19x = 598,827.94 × 598,827.94
  4. Step 4: Simplify right side
    458,313.19x = 358,594,898,730.50
  5. Step 5: Solve for x
    x = 358,594,898,730.50/458,313.19
  6. Step 6: Final answer
    x = 782,423.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.