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Finding the Third Proportional to 357,565,302 and 546,744,465

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Solution

The third proportional to 357,565,302 and 546,744,465 is: 836,013,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,565,302 : 546,744,465 = 546,744,465 : x
  2. Step 2: Convert to fraction form
    357,565,302/546,744,465 = 546,744,465/x
  3. Step 3: Cross multiply
    357,565,302x = 546,744,465 × 546,744,465
  4. Step 4: Simplify right side
    357,565,302x = 298,929,510,008,136,256
  5. Step 5: Solve for x
    x = 298,929,510,008,136,256/357,565,302
  6. Step 6: Final answer
    x = 836,013,752.83

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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.