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Finding the Third Proportional to 369,257,840 and 584,710,340

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Solution

The third proportional to 369,257,840 and 584,710,340 is: 925,873,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,257,840 : 584,710,340 = 584,710,340 : x
  2. Step 2: Convert to fraction form
    369,257,840/584,710,340 = 584,710,340/x
  3. Step 3: Cross multiply
    369,257,840x = 584,710,340 × 584,710,340
  4. Step 4: Simplify right side
    369,257,840x = 341,886,181,702,915,584
  5. Step 5: Solve for x
    x = 341,886,181,702,915,584/369,257,840
  6. Step 6: Final answer
    x = 925,873,860.13

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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.