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Finding the Third Proportional to 569,312 and 873,264

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Solution

The third proportional to 569,312 and 873,264 is: 1,339,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,312 : 873,264 = 873,264 : x
  2. Step 2: Convert to fraction form
    569,312/873,264 = 873,264/x
  3. Step 3: Cross multiply
    569,312x = 873,264 × 873,264
  4. Step 4: Simplify right side
    569,312x = 762,590,013,696
  5. Step 5: Solve for x
    x = 762,590,013,696/569,312
  6. Step 6: Final answer
    x = 1,339,494.01

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Why These Related Problems?

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