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Finding the Third Proportional to 255,518,376 and 555,877,074

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Solution

The third proportional to 255,518,376 and 555,877,074 is: 1,209,303,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,518,376 : 555,877,074 = 555,877,074 : x
  2. Step 2: Convert to fraction form
    255,518,376/555,877,074 = 555,877,074/x
  3. Step 3: Cross multiply
    255,518,376x = 555,877,074 × 555,877,074
  4. Step 4: Simplify right side
    255,518,376x = 308,999,321,398,801,472
  5. Step 5: Solve for x
    x = 308,999,321,398,801,472/255,518,376
  6. Step 6: Final answer
    x = 1,209,303,715.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.