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Finding the Third Proportional to 249,565,894 and 538,590,740

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Solution

The third proportional to 249,565,894 and 538,590,740 is: 1,162,338,252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,565,894 : 538,590,740 = 538,590,740 : x
  2. Step 2: Convert to fraction form
    249,565,894/538,590,740 = 538,590,740/x
  3. Step 3: Cross multiply
    249,565,894x = 538,590,740 × 538,590,740
  4. Step 4: Simplify right side
    249,565,894x = 290,079,985,213,747,584
  5. Step 5: Solve for x
    x = 290,079,985,213,747,584/249,565,894
  6. Step 6: Final answer
    x = 1,162,338,252.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.