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Finding the Third Proportional to 368,461.50 and 559,339.50

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Solution

The third proportional to 368,461.50 and 559,339.50 is: 849,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,461.50 : 559,339.50 = 559,339.50 : x
  2. Step 2: Convert to fraction form
    368,461.50/559,339.50 = 559,339.50/x
  3. Step 3: Cross multiply
    368,461.50x = 559,339.50 × 559,339.50
  4. Step 4: Simplify right side
    368,461.50x = 312,860,676,260.25
  5. Step 5: Solve for x
    x = 312,860,676,260.25/368,461.50
  6. Step 6: Final answer
    x = 849,100.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.