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Finding the Third Proportional to 369,257,886 and 584,710,407

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Solution

The third proportional to 369,257,886 and 584,710,407 is: 925,873,956.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,257,886 : 584,710,407 = 584,710,407 : x
  2. Step 2: Convert to fraction form
    369,257,886/584,710,407 = 584,710,407/x
  3. Step 3: Cross multiply
    369,257,886x = 584,710,407 × 584,710,407
  4. Step 4: Simplify right side
    369,257,886x = 341,886,260,054,105,664
  5. Step 5: Solve for x
    x = 341,886,260,054,105,664/369,257,886
  6. Step 6: Final answer
    x = 925,873,956.97

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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.