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Finding the Third Proportional to 284,000.34 and 607,895.72

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Solution

The third proportional to 284,000.34 and 607,895.72 is: 1,301,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,000.34 : 607,895.72 = 607,895.72 : x
  2. Step 2: Convert to fraction form
    284,000.34/607,895.72 = 607,895.72/x
  3. Step 3: Cross multiply
    284,000.34x = 607,895.72 × 607,895.72
  4. Step 4: Simplify right side
    284,000.34x = 369,537,204,874.58
  5. Step 5: Solve for x
    x = 369,537,204,874.58/284,000.34
  6. Step 6: Final answer
    x = 1,301,185.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.