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Finding the Third Proportional to 433,557 and 616,263

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Solution

The third proportional to 433,557 and 616,263 is: 875,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,557 : 616,263 = 616,263 : x
  2. Step 2: Convert to fraction form
    433,557/616,263 = 616,263/x
  3. Step 3: Cross multiply
    433,557x = 616,263 × 616,263
  4. Step 4: Simplify right side
    433,557x = 379,780,085,169
  5. Step 5: Solve for x
    x = 379,780,085,169/433,557
  6. Step 6: Final answer
    x = 875,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.