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Finding the Third Proportional to 270,399,490 and 583,903,364

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Solution

The third proportional to 270,399,490 and 583,903,364 is: 1,260,886,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,399,490 : 583,903,364 = 583,903,364 : x
  2. Step 2: Convert to fraction form
    270,399,490/583,903,364 = 583,903,364/x
  3. Step 3: Cross multiply
    270,399,490x = 583,903,364 × 583,903,364
  4. Step 4: Simplify right side
    270,399,490x = 340,943,138,490,516,480
  5. Step 5: Solve for x
    x = 340,943,138,490,516,480/270,399,490
  6. Step 6: Final answer
    x = 1,260,886,766.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.