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Finding the Third Proportional to 294,887,228.50 and 457,868,624

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Solution

The third proportional to 294,887,228.50 and 457,868,624 is: 710,928,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,887,228.50 : 457,868,624 = 457,868,624 : x
  2. Step 2: Convert to fraction form
    294,887,228.50/457,868,624 = 457,868,624/x
  3. Step 3: Cross multiply
    294,887,228.50x = 457,868,624 × 457,868,624
  4. Step 4: Simplify right side
    294,887,228.50x = 209,643,676,843,653,376
  5. Step 5: Solve for x
    x = 209,643,676,843,653,376/294,887,228.50
  6. Step 6: Final answer
    x = 710,928,302.69

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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.