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Finding the Third Proportional to 356,663,685 and 502,261,063.50

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Solution

The third proportional to 356,663,685 and 502,261,063.50 is: 707,294,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,663,685 : 502,261,063.50 = 502,261,063.50 : x
  2. Step 2: Convert to fraction form
    356,663,685/502,261,063.50 = 502,261,063.50/x
  3. Step 3: Cross multiply
    356,663,685x = 502,261,063.50 × 502,261,063.50
  4. Step 4: Simplify right side
    356,663,685x = 252,266,175,908,151,040
  5. Step 5: Solve for x
    x = 252,266,175,908,151,040/356,663,685
  6. Step 6: Final answer
    x = 707,294,256.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.