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Finding the Third Proportional to 326,514,000 and 710,421,288

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Solution

The third proportional to 326,514,000 and 710,421,288 is: 1,545,717,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,514,000 : 710,421,288 = 710,421,288 : x
  2. Step 2: Convert to fraction form
    326,514,000/710,421,288 = 710,421,288/x
  3. Step 3: Cross multiply
    326,514,000x = 710,421,288 × 710,421,288
  4. Step 4: Simplify right side
    326,514,000x = 504,698,406,443,578,944
  5. Step 5: Solve for x
    x = 504,698,406,443,578,944/326,514,000
  6. Step 6: Final answer
    x = 1,545,717,508.11

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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.