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Finding the Third Proportional to 368,523 and 540,697.50

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Solution

The third proportional to 368,523 and 540,697.50 is: 793,312.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,523 : 540,697.50 = 540,697.50 : x
  2. Step 2: Convert to fraction form
    368,523/540,697.50 = 540,697.50/x
  3. Step 3: Cross multiply
    368,523x = 540,697.50 × 540,697.50
  4. Step 4: Simplify right side
    368,523x = 292,353,786,506.25
  5. Step 5: Solve for x
    x = 292,353,786,506.25/368,523
  6. Step 6: Final answer
    x = 793,312.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.