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Finding the Third Proportional to 338,411,237 and 456,596,215

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Solution

The third proportional to 338,411,237 and 456,596,215 is: 616,055,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,411,237 : 456,596,215 = 456,596,215 : x
  2. Step 2: Convert to fraction form
    338,411,237/456,596,215 = 456,596,215/x
  3. Step 3: Cross multiply
    338,411,237x = 456,596,215 × 456,596,215
  4. Step 4: Simplify right side
    338,411,237x = 208,480,103,552,326,240
  5. Step 5: Solve for x
    x = 208,480,103,552,326,240/338,411,237
  6. Step 6: Final answer
    x = 616,055,499.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.