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Finding the Third Proportional to 273,095 and 559,312

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Solution

The third proportional to 273,095 and 559,312 is: 1,145,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,095 : 559,312 = 559,312 : x
  2. Step 2: Convert to fraction form
    273,095/559,312 = 559,312/x
  3. Step 3: Cross multiply
    273,095x = 559,312 × 559,312
  4. Step 4: Simplify right side
    273,095x = 312,829,913,344
  5. Step 5: Solve for x
    x = 312,829,913,344/273,095
  6. Step 6: Final answer
    x = 1,145,498.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.