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Finding the Third Proportional to 294,481,377 and 456,603,506

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Solution

The third proportional to 294,481,377 and 456,603,506 is: 707,979,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,481,377 : 456,603,506 = 456,603,506 : x
  2. Step 2: Convert to fraction form
    294,481,377/456,603,506 = 456,603,506/x
  3. Step 3: Cross multiply
    294,481,377x = 456,603,506 × 456,603,506
  4. Step 4: Simplify right side
    294,481,377x = 208,486,761,691,492,032
  5. Step 5: Solve for x
    x = 208,486,761,691,492,032/294,481,377
  6. Step 6: Final answer
    x = 707,979,444.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.