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Finding the Third Proportional to 270,908,936 and 593,574,320

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Solution

The third proportional to 270,908,936 and 593,574,320 is: 1,300,549,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,908,936 : 593,574,320 = 593,574,320 : x
  2. Step 2: Convert to fraction form
    270,908,936/593,574,320 = 593,574,320/x
  3. Step 3: Cross multiply
    270,908,936x = 593,574,320 × 593,574,320
  4. Step 4: Simplify right side
    270,908,936x = 352,330,473,363,462,400
  5. Step 5: Solve for x
    x = 352,330,473,363,462,400/270,908,936
  6. Step 6: Final answer
    x = 1,300,549,470.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.