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Finding the Third Proportional to 298,875,416 and 616,849,956

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Solution

The third proportional to 298,875,416 and 616,849,956 is: 1,273,118,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,875,416 : 616,849,956 = 616,849,956 : x
  2. Step 2: Convert to fraction form
    298,875,416/616,849,956 = 616,849,956/x
  3. Step 3: Cross multiply
    298,875,416x = 616,849,956 × 616,849,956
  4. Step 4: Simplify right side
    298,875,416x = 380,503,868,217,201,920
  5. Step 5: Solve for x
    x = 380,503,868,217,201,920/298,875,416
  6. Step 6: Final answer
    x = 1,273,118,656.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.