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Finding the Third Proportional to 340,083 and 508,347.50

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Solution

The third proportional to 340,083 and 508,347.50 is: 759,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,083 : 508,347.50 = 508,347.50 : x
  2. Step 2: Convert to fraction form
    340,083/508,347.50 = 508,347.50/x
  3. Step 3: Cross multiply
    340,083x = 508,347.50 × 508,347.50
  4. Step 4: Simplify right side
    340,083x = 258,417,180,756.25
  5. Step 5: Solve for x
    x = 258,417,180,756.25/340,083
  6. Step 6: Final answer
    x = 759,865.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.