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Finding the Third Proportional to 347,353.50 and 542,038.50

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Solution

The third proportional to 347,353.50 and 542,038.50 is: 845,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,353.50 : 542,038.50 = 542,038.50 : x
  2. Step 2: Convert to fraction form
    347,353.50/542,038.50 = 542,038.50/x
  3. Step 3: Cross multiply
    347,353.50x = 542,038.50 × 542,038.50
  4. Step 4: Simplify right side
    347,353.50x = 293,805,735,482.25
  5. Step 5: Solve for x
    x = 293,805,735,482.25/347,353.50
  6. Step 6: Final answer
    x = 845,840.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.