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Finding the Third Proportional to 290,946,114 and 439,443,786

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Solution

The third proportional to 290,946,114 and 439,443,786 is: 663,734,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,946,114 : 439,443,786 = 439,443,786 : x
  2. Step 2: Convert to fraction form
    290,946,114/439,443,786 = 439,443,786/x
  3. Step 3: Cross multiply
    290,946,114x = 439,443,786 × 439,443,786
  4. Step 4: Simplify right side
    290,946,114x = 193,110,841,054,013,792
  5. Step 5: Solve for x
    x = 193,110,841,054,013,792/290,946,114
  6. Step 6: Final answer
    x = 663,734,044.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.