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Finding the Third Proportional to 245,856 and 379,702.50

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Solution

The third proportional to 245,856 and 379,702.50 is: 586,416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,856 : 379,702.50 = 379,702.50 : x
  2. Step 2: Convert to fraction form
    245,856/379,702.50 = 379,702.50/x
  3. Step 3: Cross multiply
    245,856x = 379,702.50 × 379,702.50
  4. Step 4: Simplify right side
    245,856x = 144,173,988,506.25
  5. Step 5: Solve for x
    x = 144,173,988,506.25/245,856
  6. Step 6: Final answer
    x = 586,416.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.