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Finding the Third Proportional to 381,746,320.88 and 583,713,038.81

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Solution

The third proportional to 381,746,320.88 and 583,713,038.81 is: 892,532,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,746,320.88 : 583,713,038.81 = 583,713,038.81 : x
  2. Step 2: Convert to fraction form
    381,746,320.88/583,713,038.81 = 583,713,038.81/x
  3. Step 3: Cross multiply
    381,746,320.88x = 583,713,038.81 × 583,713,038.81
  4. Step 4: Simplify right side
    381,746,320.88x = 340,720,911,679,723,136
  5. Step 5: Solve for x
    x = 340,720,911,679,723,136/381,746,320.88
  6. Step 6: Final answer
    x = 892,532,273.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.