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Finding the Third Proportional to 302,713,239 and 473,828,896.50

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Solution

The third proportional to 302,713,239 and 473,828,896.50 is: 741,671,635.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,713,239 : 473,828,896.50 = 473,828,896.50 : x
  2. Step 2: Convert to fraction form
    302,713,239/473,828,896.50 = 473,828,896.50/x
  3. Step 3: Cross multiply
    302,713,239x = 473,828,896.50 × 473,828,896.50
  4. Step 4: Simplify right side
    302,713,239x = 224,513,823,158,407,712
  5. Step 5: Solve for x
    x = 224,513,823,158,407,712/302,713,239
  6. Step 6: Final answer
    x = 741,671,635.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.