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Finding the Third Proportional to 346,468,035 and 721,595,064

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Solution

The third proportional to 346,468,035 and 721,595,064 is: 1,502,878,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468,035 : 721,595,064 = 721,595,064 : x
  2. Step 2: Convert to fraction form
    346,468,035/721,595,064 = 721,595,064/x
  3. Step 3: Cross multiply
    346,468,035x = 721,595,064 × 721,595,064
  4. Step 4: Simplify right side
    346,468,035x = 520,699,436,389,164,096
  5. Step 5: Solve for x
    x = 520,699,436,389,164,096/346,468,035
  6. Step 6: Final answer
    x = 1,502,878,718.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.