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Finding the Third Proportional to 294,982,304 and 424,931,952

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Solution

The third proportional to 294,982,304 and 424,931,952 is: 612,128,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,982,304 : 424,931,952 = 424,931,952 : x
  2. Step 2: Convert to fraction form
    294,982,304/424,931,952 = 424,931,952/x
  3. Step 3: Cross multiply
    294,982,304x = 424,931,952 × 424,931,952
  4. Step 4: Simplify right side
    294,982,304x = 180,567,163,830,530,304
  5. Step 5: Solve for x
    x = 180,567,163,830,530,304/294,982,304
  6. Step 6: Final answer
    x = 612,128,800.21

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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.