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Finding the Third Proportional to 257,018,769 and 391,554,409.50

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Solution

The third proportional to 257,018,769 and 391,554,409.50 is: 596,512,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,018,769 : 391,554,409.50 = 391,554,409.50 : x
  2. Step 2: Convert to fraction form
    257,018,769/391,554,409.50 = 391,554,409.50/x
  3. Step 3: Cross multiply
    257,018,769x = 391,554,409.50 × 391,554,409.50
  4. Step 4: Simplify right side
    257,018,769x = 153,314,855,598,893,696
  5. Step 5: Solve for x
    x = 153,314,855,598,893,696/257,018,769
  6. Step 6: Final answer
    x = 596,512,294.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.