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Finding the Third Proportional to 366,915.50 and 561,316

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Solution

The third proportional to 366,915.50 and 561,316 is: 858,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,915.50 : 561,316 = 561,316 : x
  2. Step 2: Convert to fraction form
    366,915.50/561,316 = 561,316/x
  3. Step 3: Cross multiply
    366,915.50x = 561,316 × 561,316
  4. Step 4: Simplify right side
    366,915.50x = 315,075,651,856
  5. Step 5: Solve for x
    x = 315,075,651,856/366,915.50
  6. Step 6: Final answer
    x = 858,714.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.