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Finding the Third Proportional to 322,994,064 and 708,520,476

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Solution

The third proportional to 322,994,064 and 708,520,476 is: 1,554,212,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,994,064 : 708,520,476 = 708,520,476 : x
  2. Step 2: Convert to fraction form
    322,994,064/708,520,476 = 708,520,476/x
  3. Step 3: Cross multiply
    322,994,064x = 708,520,476 × 708,520,476
  4. Step 4: Simplify right side
    322,994,064x = 502,001,264,911,266,560
  5. Step 5: Solve for x
    x = 502,001,264,911,266,560/322,994,064
  6. Step 6: Final answer
    x = 1,554,212,045.55

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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.