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Finding the Third Proportional to 304,148,998 and 624,421,858

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Solution

The third proportional to 304,148,998 and 624,421,858 is: 1,281,946,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,148,998 : 624,421,858 = 624,421,858 : x
  2. Step 2: Convert to fraction form
    304,148,998/624,421,858 = 624,421,858/x
  3. Step 3: Cross multiply
    304,148,998x = 624,421,858 × 624,421,858
  4. Step 4: Simplify right side
    304,148,998x = 389,902,656,748,172,160
  5. Step 5: Solve for x
    x = 389,902,656,748,172,160/304,148,998
  6. Step 6: Final answer
    x = 1,281,946,214.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.