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Finding the Third Proportional to 306,261,898 and 470,746,683

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Solution

The third proportional to 306,261,898 and 470,746,683 is: 723,571,691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,261,898 : 470,746,683 = 470,746,683 : x
  2. Step 2: Convert to fraction form
    306,261,898/470,746,683 = 470,746,683/x
  3. Step 3: Cross multiply
    306,261,898x = 470,746,683 × 470,746,683
  4. Step 4: Simplify right side
    306,261,898x = 221,602,439,555,502,496
  5. Step 5: Solve for x
    x = 221,602,439,555,502,496/306,261,898
  6. Step 6: Final answer
    x = 723,571,691.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.