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Finding the Third Proportional to 312,835,514 and 459,676,248

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Solution

The third proportional to 312,835,514 and 459,676,248 is: 675,442,024.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,835,514 : 459,676,248 = 459,676,248 : x
  2. Step 2: Convert to fraction form
    312,835,514/459,676,248 = 459,676,248/x
  3. Step 3: Cross multiply
    312,835,514x = 459,676,248 × 459,676,248
  4. Step 4: Simplify right side
    312,835,514x = 211,302,252,975,357,504
  5. Step 5: Solve for x
    x = 211,302,252,975,357,504/312,835,514
  6. Step 6: Final answer
    x = 675,442,024.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.