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Finding the Third Proportional to 326,514,002 and 710,421,292

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Solution

The third proportional to 326,514,002 and 710,421,292 is: 1,545,717,516.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,514,002 : 710,421,292 = 710,421,292 : x
  2. Step 2: Convert to fraction form
    326,514,002/710,421,292 = 710,421,292/x
  3. Step 3: Cross multiply
    326,514,002x = 710,421,292 × 710,421,292
  4. Step 4: Simplify right side
    326,514,002x = 504,698,412,126,949,248
  5. Step 5: Solve for x
    x = 504,698,412,126,949,248/326,514,002
  6. Step 6: Final answer
    x = 1,545,717,516.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.