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Finding the Third Proportional to 288,064,080 and 411,637,464

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Solution

The third proportional to 288,064,080 and 411,637,464 is: 588,221,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,064,080 : 411,637,464 = 411,637,464 : x
  2. Step 2: Convert to fraction form
    288,064,080/411,637,464 = 411,637,464/x
  3. Step 3: Cross multiply
    288,064,080x = 411,637,464 × 411,637,464
  4. Step 4: Simplify right side
    288,064,080x = 169,445,401,768,351,296
  5. Step 5: Solve for x
    x = 169,445,401,768,351,296/288,064,080
  6. Step 6: Final answer
    x = 588,221,210.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.