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Finding the Third Proportional to 302,024,286 and 466,388,547

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Solution

The third proportional to 302,024,286 and 466,388,547 is: 720,201,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,024,286 : 466,388,547 = 466,388,547 : x
  2. Step 2: Convert to fraction form
    302,024,286/466,388,547 = 466,388,547/x
  3. Step 3: Cross multiply
    302,024,286x = 466,388,547 × 466,388,547
  4. Step 4: Simplify right side
    302,024,286x = 217,518,276,772,771,200
  5. Step 5: Solve for x
    x = 217,518,276,772,771,200/302,024,286
  6. Step 6: Final answer
    x = 720,201,278.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.