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Finding the Third Proportional to 280,045,859 and 404,583,069

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Solution

The third proportional to 280,045,859 and 404,583,069 is: 584,502,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,045,859 : 404,583,069 = 404,583,069 : x
  2. Step 2: Convert to fraction form
    280,045,859/404,583,069 = 404,583,069/x
  3. Step 3: Cross multiply
    280,045,859x = 404,583,069 × 404,583,069
  4. Step 4: Simplify right side
    280,045,859x = 163,687,459,721,458,752
  5. Step 5: Solve for x
    x = 163,687,459,721,458,752/280,045,859
  6. Step 6: Final answer
    x = 584,502,339.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.