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Finding the Third Proportional to 365,390,916 and 750,152,313

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Solution

The third proportional to 365,390,916 and 750,152,313 is: 1,540,072,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,390,916 : 750,152,313 = 750,152,313 : x
  2. Step 2: Convert to fraction form
    365,390,916/750,152,313 = 750,152,313/x
  3. Step 3: Cross multiply
    365,390,916x = 750,152,313 × 750,152,313
  4. Step 4: Simplify right side
    365,390,916x = 562,728,492,699,249,984
  5. Step 5: Solve for x
    x = 562,728,492,699,249,984/365,390,916
  6. Step 6: Final answer
    x = 1,540,072,475.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.