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Finding the Third Proportional to 326,514,304 and 710,421,752

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Solution

The third proportional to 326,514,304 and 710,421,752 is: 1,545,718,088.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,514,304 : 710,421,752 = 710,421,752 : x
  2. Step 2: Convert to fraction form
    326,514,304/710,421,752 = 710,421,752/x
  3. Step 3: Cross multiply
    326,514,304x = 710,421,752 × 710,421,752
  4. Step 4: Simplify right side
    326,514,304x = 504,699,065,714,749,504
  5. Step 5: Solve for x
    x = 504,699,065,714,749,504/326,514,304
  6. Step 6: Final answer
    x = 1,545,718,088.10

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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.