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Finding the Third Proportional to 369,258,168 and 584,710,920

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Solution

The third proportional to 369,258,168 and 584,710,920 is: 925,874,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,258,168 : 584,710,920 = 584,710,920 : x
  2. Step 2: Convert to fraction form
    369,258,168/584,710,920 = 584,710,920/x
  3. Step 3: Cross multiply
    369,258,168x = 584,710,920 × 584,710,920
  4. Step 4: Simplify right side
    369,258,168x = 341,886,859,967,246,400
  5. Step 5: Solve for x
    x = 341,886,859,967,246,400/369,258,168
  6. Step 6: Final answer
    x = 925,874,874.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.