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Finding the Third Proportional to 323,837,294 and 473,610,576

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Solution

The third proportional to 323,837,294 and 473,610,576 is: 692,653,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,837,294 : 473,610,576 = 473,610,576 : x
  2. Step 2: Convert to fraction form
    323,837,294/473,610,576 = 473,610,576/x
  3. Step 3: Cross multiply
    323,837,294x = 473,610,576 × 473,610,576
  4. Step 4: Simplify right side
    323,837,294x = 224,306,977,699,051,776
  5. Step 5: Solve for x
    x = 224,306,977,699,051,776/323,837,294
  6. Step 6: Final answer
    x = 692,653,322.69

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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.