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Finding the Third Proportional to 468,034 and 705,358

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Solution

The third proportional to 468,034 and 705,358 is: 1,063,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,034 : 705,358 = 705,358 : x
  2. Step 2: Convert to fraction form
    468,034/705,358 = 705,358/x
  3. Step 3: Cross multiply
    468,034x = 705,358 × 705,358
  4. Step 4: Simplify right side
    468,034x = 497,529,908,164
  5. Step 5: Solve for x
    x = 497,529,908,164/468,034
  6. Step 6: Final answer
    x = 1,063,020.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.