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Finding the Third Proportional to 296,509,392 and 433,849,356

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Solution

The third proportional to 296,509,392 and 433,849,356 is: 634,803,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,509,392 : 433,849,356 = 433,849,356 : x
  2. Step 2: Convert to fraction form
    296,509,392/433,849,356 = 433,849,356/x
  3. Step 3: Cross multiply
    296,509,392x = 433,849,356 × 433,849,356
  4. Step 4: Simplify right side
    296,509,392x = 188,225,263,701,614,720
  5. Step 5: Solve for x
    x = 188,225,263,701,614,720/296,509,392
  6. Step 6: Final answer
    x = 634,803,715.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.