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Finding the Third Proportional to 270,908,934 and 593,574,316

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Solution

The third proportional to 270,908,934 and 593,574,316 is: 1,300,549,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,908,934 : 593,574,316 = 593,574,316 : x
  2. Step 2: Convert to fraction form
    270,908,934/593,574,316 = 593,574,316/x
  3. Step 3: Cross multiply
    270,908,934x = 593,574,316 × 593,574,316
  4. Step 4: Simplify right side
    270,908,934x = 352,330,468,614,867,840
  5. Step 5: Solve for x
    x = 352,330,468,614,867,840/270,908,934
  6. Step 6: Final answer
    x = 1,300,549,462.92

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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.